404168364900 has 864 divisors, whose sum is σ = 1450606405248. Its totient is φ = 97193779200.

The previous prime is 404168364893. The next prime is 404168364937. The reversal of 404168364900 is 9463861404.

404168364900 is a `hidden beast` number, since 40 + 4 + 168 + 364 + 90 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1083561114 + ... + 1083561486.

Almost surely, 2^404168364900 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 404168364900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725303202624).

404168364900 is an abundant number, since it is smaller than the sum of its proper divisors (1046438040348).

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

404168364900 is a wasteful number, since it uses less digits than its factorization.

404168364900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 404168364900 in words is "four hundred four billion, one hundred sixty-eight million, three hundred sixty-four thousand, nine hundred".