10140456960 has 192 divisors, whose sum is σ = 36047138400. Its totient is φ = 2704048128.

The previous prime is 10140456797. The next prime is 10140456961. The reversal of 10140456960 is 6965404101.

10140456960 is a `hidden beast` number, since 1 + 0 + 140 + 456 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10140456960² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140456961) 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, 258142 + ... + 294818.

Almost surely, 2^10140456960 is an apocalyptic number.

10140456960 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 10140456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023569200).

10140456960 is an abundant number, since it is smaller than the sum of its proper divisors (25906681440).

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

10140456960 is an equidigital number, since it uses as much as digits as its factorization.

10140456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36713 (or 36687 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10140456960 in words is "ten billion, one hundred forty million, four hundred fifty-six thousand, nine hundred sixty".