what is the max number of instant access switches that supported on C6840-X-LE-40G?
The Cisco Catalyst 6800 series supports up to 1,000 access ports.
Right now the 6840 supports IOS 15.2(2)SY. The release notes for this version state that 1500 IA ports across 32 IA switches are supported.
See Page 4 in the release notes for more details: http://www.cisco.com/c/en/us/td/docs/switches/lan/catalyst6500/ios/15-2SY/release_notes/release_notes_15_2_2SY.pdf
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