10031022408960 has 1728 divisors, whose sum is σ = 44211150950400. Its totient is φ = 2141050060800.

The previous prime is 10031022408907. The next prime is 10031022409039. The reversal of 10031022408960 is 6980422013001.

10031022408960 is a `hidden beast` number, since 10 + 0 + 310 + 2 + 240 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2284448365 + ... + 2284452755.

It is an arithmetic number, because the mean of its divisors is an integer number (25585156800).

Almost surely, 2^{10031022408960} is an apocalyptic number.

10031022408960 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 10031022408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22105575475200).

10031022408960 is an abundant number, since it is smaller than the sum of its proper divisors (34180128541440).

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

10031022408960 is a wasteful number, since it uses less digits than its factorization.

10031022408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10031022408960 in words is "ten trillion, thirty-one billion, twenty-two million, four hundred eight thousand, nine hundred sixty".