send push notification in bulk (4000)

I am trying to test push notification for 4000 device tokens. Is there any limit to send push notification in bulk?


I have created one application for push notification. Now we want to test the application for bulk of devices tokens. For testing we have created lots(almost 4000) of testing device tokens from which 3 are real device tokens and others are fake device tokens. When we are sending notifications to these device tokens then we got error like "Unable to write data to the transport connection: An existing connection was forcibly closed by the remote host." .Can you please suggest me it is possible to test push notification with testing device id.If no then how will we test bulk push notification for application.