is this a good build for gaming and recording?

I would change some parts to make build cheaper and better :)

PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: Intel Core i7-4770K 3.5GHz Quad-Core Processor ($319.99 @ Newegg)
CPU Cooler: Noctua NH-D14 65.0 CFM CPU Cooler ($59.99 @ NCIX US)
Motherboard: Asus Maximus VI Hero ATX LGA1150 Motherboard ($189.99 @ NCIX US)
Memory: G.Skill Sniper Series 16GB (2 x 8GB) DDR3-1866 Memory ($149.99 @ Newegg)
Storage: Samsung 840 EVO 120GB 2.5" Solid State Disk ($74.99 @ Amazon)
Storage: Seagate Barracuda 3TB 3.5" 7200RPM Internal Hard Drive ($109.99 @ Newegg)
Video Card: Asus GeForce GTX 780 Ti 3GB DirectCU II Video Card (2-Way SLI) ($689.99 @ Amazon)
Video Card: Asus GeForce GTX 780 Ti 3GB DirectCU II Video Card (2-Way SLI) ($689.99 @ Amazon)
Case: NZXT Phantom (White) ATX Full Tower Case ($100.98 @ Best Buy)
Power Supply: SeaSonic X Series 850W 80+ Gold Certified Fully-Modular ATX Power Supply ($164.98 @ SuperBiiz)
Optical Drive: Asus DRW-24F1ST DVD/CD Writer ($14.99 @ Newegg)
Total: $2555.87
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-05-21 12:35 EDT-0400)

H100i works hotter and louder than NH-D14 but if you like H100i you can get it :)