404152264404 has 216 divisors, whose sum is σ = 1261964733120. Its totient is φ = 108363612672.

The previous prime is 404152264349. The next prime is 404152264457. The reversal of 404152264404 is 404462251404.

404152264404 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 5 + 2 + 2 + 644 + 0 + 4 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 10386417 + ... + 10425255.

It is an arithmetic number, because the mean of its divisors is an integer number (5842429320).

Almost surely, 2^404152264404 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 404152264404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630982366560).

404152264404 is an abundant number, since it is smaller than the sum of its proper divisors (857812468716).

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

404152264404 is a wasteful number, since it uses less digits than its factorization.

404152264404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39227 (or 39215 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 404152264404 in words is "four hundred four billion, one hundred fifty-two million, two hundred sixty-four thousand, four hundred four".