10414540656 has 140 divisors (see below), whose sum is σ = 32581079608. Its totient is φ = 3204427392.

The previous prime is 10414540601. The next prime is 10414540723. The reversal of 10414540656 is 65604541401.

10414540656 is a `hidden beast` number, since 10 + 41 + 4 + 540 + 65 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10414540656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 117291 + ... + 185973.

Almost surely, 2^10414540656 is an apocalyptic number.

10414540656 is a gapful number since it is divisible by the number (16) 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 10414540656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290539804).

10414540656 is an abundant number, since it is smaller than the sum of its proper divisors (22166538952).

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

10414540656 is an equidigital number, since it uses as much as digits as its factorization.

10414540656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68722 (or 68701 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10414540656 in words is "ten billion, four hundred fourteen million, five hundred forty thousand, six hundred fifty-six".