10712863440 has 320 divisors, whose sum is σ = 38397542400. Its totient is φ = 2742336000.

The previous prime is 10712863439. The next prime is 10712863453. The reversal of 10712863440 is 4436821701.

10712863440 is a `hidden beast` number, since 1 + 0 + 7 + 12 + 8 + 634 + 4 + 0 = 666.

It is a super-2 number, since 2×10712863440² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10712863395 and 10712863404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9306865 + ... + 9308015.

It is an arithmetic number, because the mean of its divisors is an integer number (119992320).

Almost surely, 2^10712863440 is an apocalyptic number.

10712863440 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 10712863440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19198771200).

10712863440 is an abundant number, since it is smaller than the sum of its proper divisors (27684678960).

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

10712863440 is a wasteful number, since it uses less digits than its factorization.

10712863440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10712863440 in words is "ten billion, seven hundred twelve million, eight hundred sixty-three thousand, four hundred forty".