1038295815120 has 640 divisors, whose sum is σ = 3691049472000. Its totient is φ = 268188641280.

The previous prime is 1038295815091. The next prime is 1038295815163. The reversal of 1038295815120 is 215185928301.

1038295815120 is a `hidden beast` number, since 1 + 0 + 3 + 82 + 9 + 58 + 1 + 512 + 0 = 666.

It is a super-2 number, since 2×1038295815120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2992206787 + ... + 2992207133.

It is an arithmetic number, because the mean of its divisors is an integer number (5767264800).

Almost surely, 2^{1038295815120} is an apocalyptic number.

1038295815120 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 1038295815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845524736000).

1038295815120 is an abundant number, since it is smaller than the sum of its proper divisors (2652753656880).

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

1038295815120 is a wasteful number, since it uses less digits than its factorization.

1038295815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1038295815120 in words is "one trillion, thirty-eight billion, two hundred ninety-five million, eight hundred fifteen thousand, one hundred twenty".