1044395074320 has 640 divisors, whose sum is σ = 3626137912320. Its totient is φ = 247053680640.

The previous prime is 1044395074259. The next prime is 1044395074357. The reversal of 1044395074320 is 234705934401.

It is a happy number.

It is a super-2 number, since 2×1044395074320² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2909178301 + ... + 2909178659.

It is an arithmetic number, because the mean of its divisors is an integer number (5665840488).

Almost surely, 2^{1044395074320} is an apocalyptic number.

1044395074320 is a gapful number since it is divisible by the number (10) 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 1044395074320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813068956160).

1044395074320 is an abundant number, since it is smaller than the sum of its proper divisors (2581742838000).

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

1044395074320 is a wasteful number, since it uses less digits than its factorization.

1044395074320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 1044395074320 in words is "one trillion, forty-four billion, three hundred ninety-five million, seventy-four thousand, three hundred twenty".