a motor vehicle brake , in particular a combined hydraulically and electromechanically actuatable motor vehicle brake , with an actuator assembly comprising : a housing , an actuator which can be moved relative to the housing for hydraulically or electromechanically moving a brake lining , a motor drive , a movement mechanism which is arranged between the motor drive and the movable actuator , a gear arrangement which is paired with the movement mechanism , and a separate self - locking device which is designed to block the movement mechanism when necessary , wherein the movement mechanism has a ball screw drive with a rotatable spindle and a nut which can be moved in the housing in a linear manner . the nut can be moved within the housing in order to move the actuator by rotating the spindle , and the gear arrangement has at least two gear stages . in the motor vehicle brake , the self - locking device is arranged in or on the gear arrangement such that at least two gear stages are arranged between the ball screw drive and the self - locking device .