10656271440 has 160 divisors (see below), whose sum is σ = 36779015040. Its totient is φ = 2835938304.

The previous prime is 10656271403. The next prime is 10656271447. The reversal of 10656271440 is 4417265601.

10656271440 is a `hidden beast` number, since 10 + 6 + 5 + 627 + 14 + 4 + 0 = 666.

It is a super-2 number, since 2×10656271440² (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 = 10656271395 and 10656271404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10656271447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1124964 + ... + 1134396.

It is an arithmetic number, because the mean of its divisors is an integer number (229868844).

Almost surely, 2^10656271440 is an apocalyptic number.

10656271440 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 10656271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18389507520).

10656271440 is an abundant number, since it is smaller than the sum of its proper divisors (26122743600).

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

10656271440 is a wasteful number, since it uses less digits than its factorization.

10656271440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9978 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10656271440 in words is "ten billion, six hundred fifty-six million, two hundred seventy-one thousand, four hundred forty".