It's not really a shade per se, but a type.
Flat is typically used in bedrooms, hallways, and living room/dining rooms and gloss or semi-gloss is for "wet" areas. It is also typical to use gloss or semi-gloss for trimwork.
As for shade, there are as many shades of white latex as there are blades of grass in a soccer field.....
Don't worry about trying to match it to anything. If you're redoing the room just paint it whatever you want. I use Behr interior latex enamel pure white a LOT but there are thousands of shades you can do.
The only thing you have to worry about (vis a vis the super/building owner) is if you intend to paint it something weird like black or navy blue. I know someone that did that and the building management charged them $1000.00 to repaint it when they moved because it took like 10 coats to hide.....