10402402656 has 96 divisors (see below), whose sum is σ = 28218129408. Its totient is φ = 3351928320.

The previous prime is 10402402649. The next prime is 10402402669. The reversal of 10402402656 is 65620420401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4412230 + ... + 4414586.

It is an arithmetic number, because the mean of its divisors is an integer number (293938848).

Almost surely, 2^10402402656 is an apocalyptic number.

10402402656 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 10402402656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14109064704).

10402402656 is an abundant number, since it is smaller than the sum of its proper divisors (17815726752).

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

10402402656 is a wasteful number, since it uses less digits than its factorization.

10402402656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 10402402656 in words is "ten billion, four hundred two million, four hundred two thousand, six hundred fifty-six".