10038142078720 has 72 divisors (see below), whose sum is σ = 27479413965024. Its totient is φ = 3441648709632.

The previous prime is 10038142078717. The next prime is 10038142078763. The reversal of 10038142078720 is 2787024183001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560155219 + ... + 560173138.

It is an arithmetic number, because the mean of its divisors is an integer number (381658527292).

Almost surely, 2^{10038142078720} is an apocalyptic number.

10038142078720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10038142078720 is an abundant number, since it is smaller than the sum of its proper divisors (17441271886304).

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

10038142078720 is an equidigital number, since it uses as much as digits as its factorization.

10038142078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120328385 (or 1120328371 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 10038142078720 in words is "ten trillion, thirty-eight billion, one hundred forty-two million, seventy-eight thousand, seven hundred twenty".