Quick Fill, Quick Empty and Pull All

Quick Fill #

Tops up the stacks you carry. With a chest open, it takes from that chest. In your own inventory, it takes from the chests around you. Only items you already carry are taken.

Quick Empty #

Only with a chest open. Moves your main inventory into the chest, apart from kept items and protected items. The hotbar stays. Afterwards the chest is sorted in the layout it remembers.

Pull All #

Above a chest, next to the sort button. Moves everything in the chest into your main inventory, as far as it fits. When your inventory is full the button says so.