400 watts of solar might fully charge 1 of those from empty in a day, but it needs to be really sunny and long. Winter will be an issue. I just went from a SOC of 3% to 50% on a single U27-12XP with 200 watts of solar, full sun and 4 hours, then the clouds rolled in. It averaged about 12ah per hour when the sun was shining full blast. Based on that, a fully depleted battery will take around 9 hours of full sun to charge on solar alone. I've been thinking about getting another 200 watts to make sure I can recharge fully in 1 good day. My Valence batteries are used, and are down to about 112 ah of storage. 1 battery ran my 17 cubic foot freezer/fridge and a laptop for 16 hours. I still had 3% left so I may have been able to stretch it a bit more but didn't feel like hammering the battery much more on that test. I verified it can go through the night, but it will be empty in the morning. I had planned on running 2 batteries in parallel to ensure at least another day of run time without recharging and can still do that if needed, but the more I thought about the various loads I need to run and where they are in the house, I'm starting to think that having another inverter would make more sense to use with the other battery so things that are not in the kitchen area can be powered without running extension cords all over the place. Plus, moving just one battery is a lot easier. Portability is something to consider in emergency situations. During an ice storm we had in Raleigh a while back, a tree took out the location where a whole house generator would have been installed. That would have really sucked if I had one installed at the time. From that point on, I always consider the ability to run with structural damage or having to leave the house. I can throw a couple panels, inverter and batteries in the truck and still have room for family stuff and food/water. I can easily run a small fridge, a microwave and charge cell phones with 200 watts of solar and 1 battery over an extended period of time. At this point, my planned use is more of an emergency scenario rather than running loads daily so I will not be charging the batteries all the time.
How were you planning on arranging the batteries? 2s2p? That would give you 24v and 274ah. All 4 in parallel gets you to 12 v and 552ah. If you run either of those configs down too much, 400 watts of solar will not be able to fully recharge it in a day. If your planned DOD is 50% or less, things look much better. I got a 60 amp RV charger (the U27-12XP can charge at a max of 70 amps) to make up for short falls. I can run a generator for a couple hours and be topped off while running other heavy loads that the batteries/inverter can't deal with.
Lots to think about. Much depends on how you intend to use the system.