13403412960 has 432 divisors, whose sum is σ = 50834942928. Its totient is φ = 2959810560.

The previous prime is 13403412931. The next prime is 13403412961. The reversal of 13403412960 is 6921430431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13403412961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22602424 + ... + 22603016.

It is an arithmetic number, because the mean of its divisors is an integer number (117673479).

Almost surely, 2^13403412960 is an apocalyptic number.

13403412960 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 13403412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25417471464).

13403412960 is an abundant number, since it is smaller than the sum of its proper divisors (37431529968).

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

13403412960 is a wasteful number, since it uses less digits than its factorization.

13403412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 13403412960 in words is "thirteen billion, four hundred three million, four hundred twelve thousand, nine hundred sixty".