That is a an early 1969 Lighted HS40/4hp engine, Not sure why the battery box is there, looks like the wires go up and under the seat though. It will have a head that is the same size as the smaller H25-35 and will require a special head gasket, If you don't go by the parts lists to order service parts that is something you need to watch for and get right as Most surviving HS40's have Mid/late '69-up revised Head and block with larger bolt pattern. It also very important to properly remove the and reinstall the flywheel on those which will most certainly be needed to service the points. Lighted engines are a little trickier to work with and get the cup seated correctly.
The "Model" number on the the tag on the front of the engine is what you use to find parts explosions online HS40 55XXX use that at whatever small engine parts supplier you like to pull up the parts explosions and go from there for parts. carb has been replaced, If it is an aftermarket they don't really offer rebuild kits for them, They are Use till they fail and toss. If its OEM replacement you can rebuild.