Theoretically unlimited but Id say the practical limit is probably about a dozen. Your best bet however is a good PoE switch (search the forums there’s a few good posts) or the ME-U Hub
FYI - while using an ME-U will ensure compatibility with the A&H ecosystem, it is not the only solution. You can use regular network switches in lue of an ME-U. However there are some very specific requirements that must be followed.
I would add that every “daisy chained” unit requires its own power supply, even if using a PoE switch. The ME-1 does not pass PoE. By far your cleanest bet is to have every ME-1 connected directly to a PoE switch port, like the MU, and daisy chain only if you run out of ports.