An engine starting and stopping device for an internal combustion engine includes an energy storing mechanism having at least one elastic member such as a spring, an input element engageable with the elastic member and movable during engine coast down to load the elastic member, and an output element that is movable in response to the energy storing mechanism. The output element is movable in response to the energy storing mechanism as the elastic member unloads from the loaded state, to thereby move a rotatable member (i.e., a crankshaft and/or flywheel) of the engine during starting of the engine. An input control device is also provided for positioning the input element into engagement with the rotatable member of the engine such that rotation of the rotatable member moves the input element to load the elastic member during engine coast down and also to brake the engine.