13382414304 has 144 divisors (see below), whose sum is σ = 42182816256. Its totient is φ = 3700166400.

The previous prime is 13382414303. The next prime is 13382414321. The reversal of 13382414304 is 40341428331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13382414303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99939 + ... + 191709.

It is an arithmetic number, because the mean of its divisors is an integer number (292936224).

Almost surely, 2^13382414304 is an apocalyptic number.

13382414304 is a gapful number since it is divisible by the number (14) 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 13382414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21091408128).

13382414304 is an abundant number, since it is smaller than the sum of its proper divisors (28800401952).

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

13382414304 is a wasteful number, since it uses less digits than its factorization.

13382414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91829 (or 91814 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 13382414304 in words is "thirteen billion, three hundred eighty-two million, four hundred fourteen thousand, three hundred four".