Hi Andrea,
What is probably happening is that your memory is becoming increasingly fragmented and after 9 hours there are no continuous blocks of memory available.  If you are continuously reconfiguring your counters, that is what is morelikely causing the problem.  I included an example that uses all 8 counters and only needs to configure them once.  A couple other suggestions:
1) What happens when you create a larger buffer?  Can you run the program for longer?
2) Have you tried running a disk defrag program on your memory?  One suggestion I found on the net was mem-turbo from a shareware site.
3) What happens if you only use 1 counter?  Does the error still occur?
4) Some issues (including error 10444) with the NI-DAQ driver and analog input were solved
 by upgrading to NI-DAQ 6.9.3.  What is your current computer configuration (software, hardware, driver version etc.)?  This might help narrow the problem down.
Simultaneous Buffered-Event Counting on All Eight Counters of the 6602 or 6608 Devices
http://sine.ni.com/apps/we/niepd_web_display.display_epd4?p_guid=B45EACE3DC9F56A4E034080020E74861&p_node=DZ52325&p_source=External
Hope that helps.  Have a good day.
Ron
Applications Engineering
National Instruments