404207994079368 has 160 divisors (see below), whose sum is σ = 1171302529498200. Its totient is φ = 130078155820032.

The previous prime is 404207994079333. The next prime is 404207994079391. The reversal of 404207994079368 is 863970499702404.

404207994079368 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 0 + 79 + 9 + 407 + 93 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 218810305048644 + 185397689030724 = 14792238^2 + 13616082^2 .

It is a super-2 number, since 2×404207994079368² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 404207994079296 and 404207994079305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 207867730 + ... + 209803262.

Almost surely, 2^{404207994079368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404207994079368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585651264749100).

404207994079368 is an abundant number, since it is smaller than the sum of its proper divisors (767094535418832).

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

404207994079368 is a wasteful number, since it uses less digits than its factorization.

404207994079368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946693 (or 1946680 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 404207994079368 in words is "four hundred four trillion, two hundred seven billion, nine hundred ninety-four million, seventy-nine thousand, three hundred sixty-eight".