404972080326 has 256 divisors, whose sum is σ = 1083912192000. Its totient is φ = 110629048320.

The previous prime is 404972080259. The next prime is 404972080363. The reversal of 404972080326 is 623080279404.

404972080326 is a `hidden beast` number, since 40 + 497 + 20 + 80 + 3 + 26 = 666.

404972080326 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37185490 + ... + 37196378.

It is an arithmetic number, because the mean of its divisors is an integer number (4234032000).

Almost surely, 2^404972080326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404972080326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541956096000).

404972080326 is an abundant number, since it is smaller than the sum of its proper divisors (678940111674).

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

404972080326 is a wasteful number, since it uses less digits than its factorization.

404972080326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11084 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 404972080326 in words is "four hundred four billion, nine hundred seventy-two million, eighty thousand, three hundred twenty-six".