13403725440 has 512 divisors, whose sum is σ = 51438551040. Its totient is φ = 2904145920.

The previous prime is 13403725417. The next prime is 13403725451. The reversal of 13403725440 is 4452730431.

13403725440 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 63 ways as a sum of consecutive naturals, for example, 22081617 + ... + 22082223.

It is an arithmetic number, because the mean of its divisors is an integer number (100465920).

Almost surely, 2^13403725440 is an apocalyptic number.

13403725440 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 13403725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719275520).

13403725440 is an abundant number, since it is smaller than the sum of its proper divisors (38034825600).

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

13403725440 is a wasteful number, since it uses less digits than its factorization.

13403725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 13403725440 in words is "thirteen billion, four hundred three million, seven hundred twenty-five thousand, four hundred forty".