Like any bank account you're never going to be able to completely purge that data. The financial institution needs to keep the records not just for compliance (potential audit situations) but because all of your transactions did occur and tie to something else in their systems.
I would imagine that after the plan year is over (typically a calendar year but not necessarily) you'll stop getting emails. If they ever change 401(k) providers then your data as a terminated employee would not be moved over to the new recordkeeper.
I would imagine that after the plan year is over (typically a calendar year but not necessarily) you'll stop getting emails. If they ever change 401(k) providers then your data as a terminated employee would not be moved over to the new recordkeeper.