There's not really a setting for that in sshd_config, as far as I know, in regards to general connections. It depends on the RAM on the target machine and you can probably run up hundreds if not thousands of SSH connections before you have networking or RAM troubles.
If these connection are all going to come from the same account on a single machine then you might look at
SSH multiplexing. For that you would have a default limit of 10 conncurrently multiplexed sessions unless you can the MaxSessions setting.
However, there is probably a much better way to solve the task at hand than to give out shell access to thousands of people and their machines. Please describe what you are trying to do in a little more detail.