10713661440 has 256 divisors, whose sum is σ = 34879299840. Its totient is φ = 2807562240.

The previous prime is 10713661391. The next prime is 10713661447. The reversal of 10713661440 is 4416631701.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×10713661440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10713661447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34897767 + ... + 34898073.

It is an arithmetic number, because the mean of its divisors is an integer number (136247265).

Almost surely, 2^10713661440 is an apocalyptic number.

10713661440 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 10713661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17439649920).

10713661440 is an abundant number, since it is smaller than the sum of its proper divisors (24165638400).

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

10713661440 is an frugal number, since it uses more digits than its factorization.

10713661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10713661440 in words is "ten billion, seven hundred thirteen million, six hundred sixty-one thousand, four hundred forty".