So will the left VHF radio, dome lights, nacelle anti-ice, and captain pitot heat.
This, however, varies from airline to airline.. and in many cases, aircraft to aircraft. You may find that your 747-400 configuration is quite rare. For example, on our aircraft, the Captain's pitot heat is NOT powered. Also, on our aircraft, the NAI is dependent on whether the switches on the overhead panel are pushbutton ON/OFF or OFF/AUTO/ON. Auto Anti-Ice usually powered by the main busses.
Main problems besides the obvious are the loss of anti-skid braking and loss of thrust reverse.
A lot less worrisome than the situation without battery power
