If you are worry about downloading that large of a file, you can preorder the physical version with this link on Amazon.
Dragon Quest Heroes: The World Tree’s Woe and the Blight Below is the first game to appear on PlayStation platforms since the release of Dragon Quest VIII: Journey of the Cursed King for the PS2 in 2005. The upcoming title combines elements from the Dynasty Warriors series with the JRPG franchise. It will be released on October 13th exclusively on the PlayStation 4 in North America (the PS3 version will remain in Japan, at least for the foreseeable future).
All PlayStation 4 units released so far in the North American region come equipped with an internal 500 GB HDD. With that said, Sony is teaming up with Activision to release a 1 TB HDD Call of Duty: Black Ops 3 PlayStation 4 System Bundle on the 6th of November.