404466790656 has 144 divisors (see below), whose sum is σ = 1133760196800. Its totient is φ = 127655092224.

The previous prime is 404466790639. The next prime is 404466790781. The reversal of 404466790656 is 656097664404.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 404466790596 and 404466790605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30184150 + ... + 30197546.

It is an arithmetic number, because the mean of its divisors is an integer number (7873334700).

Almost surely, 2^404466790656 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 404466790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566880098400).

404466790656 is an abundant number, since it is smaller than the sum of its proper divisors (729293406144).

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

404466790656 is a wasteful number, since it uses less digits than its factorization.

404466790656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15504 (or 15490 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 404466790656 in words is "four hundred four billion, four hundred sixty-six million, seven hundred ninety thousand, six hundred fifty-six".