10044374963904 has 840 divisors, whose sum is σ = 33218577128880. Its totient is φ = 2989645037568.

The previous prime is 10044374963867. The next prime is 10044374963923. The reversal of 10044374963904 is 40936947344001.

10044374963904 is a `hidden beast` number, since 10 + 0 + 443 + 7 + 49 + 63 + 90 + 4 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 4372822084 + ... + 4372824380.

Almost surely, 2^{10044374963904} 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 10044374963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609288564440).

10044374963904 is an abundant number, since it is smaller than the sum of its proper divisors (23174202164976).

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

10044374963904 is a wasteful number, since it uses less digits than its factorization.

10044374963904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 10044374963904 in words is "ten trillion, forty-four billion, three hundred seventy-four million, nine hundred sixty-three thousand, nine hundred four".