10731025440 has 216 divisors, whose sum is σ = 37930193028. Its totient is φ = 2762618880.

The previous prime is 10731025427. The next prime is 10731025463. The reversal of 10731025440 is 4452013701.

10731025440 is a `hidden beast` number, since 10 + 7 + 3 + 102 + 544 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8332768656 + 2398256784 = 91284^2 + 48972^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1206610 + ... + 1215470.

Almost surely, 2^10731025440 is an apocalyptic number.

10731025440 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 10731025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18965096514).

10731025440 is an abundant number, since it is smaller than the sum of its proper divisors (27199167588).

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

10731025440 is a wasteful number, since it uses less digits than its factorization.

10731025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10731025440 in words is "ten billion, seven hundred thirty-one million, twenty-five thousand, four hundred forty".