Last time I tried on a so called modern hardware (HP DL380 G4, two Xeon 3.6 GHz, 2 GBs of RAM and a slow RAID card, which can do about 80-90 MBbps) postfix and cyrus could sink about 1200-2000 emails per minute.http://www.fastmail.fmBut it is doable, yes. It just ain't cheap or easy. 4M messages/day means almost 50 messages per second. You will probably need a murder cluster or a two-layer perdition cluser and two-layer MTA setup to get this. And a pool of content filter workers, and webmail servers too.
All of messages were sent through an amavisd which then fed it into clamav (clamd).
Amavisd was slow like hell, but cyrus could easily put email down to disk at a rate of 10-15 MBps.
Take the above numbers with a grain of salt, because the testing was pretty lame (an email emitter program which fed postfix through localhost smtp and a frequent mailq, to see if there are messages in the postfix queue) and all the numbers are from my mind...
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