13042342656 has 432 divisors, whose sum is σ = 45390928128. Its totient is φ = 3657830400.

The previous prime is 13042342633. The next prime is 13042342669. The reversal of 13042342656 is 65624324031.

13042342656 is a `hidden beast` number, since 1 + 304 + 2 + 342 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 13042342656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26562571 + ... + 26563061.

Almost surely, 2^13042342656 is an apocalyptic number.

13042342656 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 13042342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22695464064).

13042342656 is an abundant number, since it is smaller than the sum of its proper divisors (32348585472).

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

13042342656 is an frugal number, since it uses more digits than its factorization.

13042342656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13042342656 its reverse (65624324031), we get a palindrome (78666666687).

The spelling of 13042342656 in words is "thirteen billion, forty-two million, three hundred forty-two thousand, six hundred fifty-six".