404320896000 has 1232 divisors, whose sum is σ = 1731188184960. Its totient is φ = 92266905600.

The previous prime is 404320895999. The next prime is 404320896043. The reversal of 404320896000 is 698023404.

It is a happy number.

404320896000 is a `hidden beast` number, since 4 + 0 + 43 + 2 + 0 + 8 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 653183691 + ... + 653184309.

Almost surely, 2^404320896000 is an apocalyptic number.

404320896000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404320896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865594092480).

404320896000 is an abundant number, since it is smaller than the sum of its proper divisors (1326867288960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404320896000 is an frugal number, since it uses more digits than its factorization.

404320896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 404320896000 in words is "four hundred four billion, three hundred twenty million, eight hundred ninety-six thousand".