CMN or CMG Mail Connector crashes with "Faulting module name: clr.dll" (4348166)

Coexistence Manager for Notes (CMN) or Coexistence Manager for GroupWise (CMG) crashes with the following error:

Log Name:      Application
Source:        Application Error
Date:          5/21/2013 2:38:31 PM
Event ID:      1000
Task Category: (100)
Level:         Error
Keywords:      Classic
User:          N/A
Computer:      server.example.org
Description:
Faulting application name: CMNMailConnectorService.exe, version: 3.2.1.23, time stamp: 0x508ad718
Faulting module name: clr.dll, version: 4.0.30319.296, time stamp: 0x50484aa9
Exception code: 0xc00000fd
Fault offset: 0x000018b7
Faulting process id: 0x678
Faulting application start time: 0x01ce545317179fb5