13402282320 has 480 divisors, whose sum is σ = 54526867200. Its totient is φ = 2881806336.

The previous prime is 13402282279. The next prime is 13402282373. The reversal of 13402282320 is 2328220431.

13402282320 is a `hidden beast` number, since 1 + 3 + 402 + 28 + 232 + 0 = 666.

13402282320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 16566076 + ... + 16566884.

It is an arithmetic number, because the mean of its divisors is an integer number (113597640).

Almost surely, 2^13402282320 is an apocalyptic number.

13402282320 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 13402282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27263433600).

13402282320 is an abundant number, since it is smaller than the sum of its proper divisors (41124584880).

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

13402282320 is a wasteful number, since it uses less digits than its factorization.

13402282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 13402282320 in words is "thirteen billion, four hundred two million, two hundred eighty-two thousand, three hundred twenty".