404038126162944 has 1056 divisors, whose sum is σ = 1486091194778880. Its totient is φ = 106177875148800.

The previous prime is 404038126162939. The next prime is 404038126162963. The reversal of 404038126162944 is 449261621830404.

404038126162944 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 3 + 8 + 1 + 2 + 6 + 1 + 629 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9190809124 + ... + 9190853084.

Almost surely, 2^{404038126162944} 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 404038126162944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743045597389440).

404038126162944 is an abundant number, since it is smaller than the sum of its proper divisors (1082053068615936).

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

404038126162944 is a wasteful number, since it uses less digits than its factorization.

404038126162944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44304 (or 44267 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 404038126162944 in words is "four hundred four trillion, thirty-eight billion, one hundred twenty-six million, one hundred sixty-two thousand, nine hundred forty-four".