404245126656 has 1260 divisors, whose sum is σ = 1518906852936. Its totient is φ = 106913157120.

The previous prime is 404245126561. The next prime is 404245126763. The reversal of 404245126656 is 656621542404.

404245126656 is a `hidden beast` number, since 4 + 0 + 4 + 24 + 512 + 66 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 13040165361 + ... + 13040165391.

Almost surely, 2^404245126656 is an apocalyptic number.

404245126656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404245126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759453426468).

404245126656 is an abundant number, since it is smaller than the sum of its proper divisors (1114661726280).

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

404245126656 is an frugal number, since it uses more digits than its factorization.

404245126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 404245126656 in words is "four hundred four billion, two hundred forty-five million, one hundred twenty-six thousand, six hundred fifty-six".