13339440456 has 128 divisors (see below), whose sum is σ = 36983070720. Its totient is φ = 3988030464.

The previous prime is 13339440427. The next prime is 13339440469. The reversal of 13339440456 is 65404493331.

13339440456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2653161 + ... + 2658183.

It is an arithmetic number, because the mean of its divisors is an integer number (288930240).

Almost surely, 2^13339440456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13339440456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18491535360).

13339440456 is an abundant number, since it is smaller than the sum of its proper divisors (23643630264).

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

13339440456 is a wasteful number, since it uses less digits than its factorization.

13339440456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 13339440456 in words is "thirteen billion, three hundred thirty-nine million, four hundred forty thousand, four hundred fifty-six".