13204830240 has 576 divisors, whose sum is σ = 54922323456. Its totient is φ = 2820243456.

The previous prime is 13204830229. The next prime is 13204830241. The reversal of 13204830240 is 4203840231.

It is not an unprimeable number, because it can be changed into a prime (13204830241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45067534 + ... + 45067826.

It is an arithmetic number, because the mean of its divisors is an integer number (95351256).

Almost surely, 2^13204830240 is an apocalyptic number.

13204830240 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 13204830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27461161728).

13204830240 is an abundant number, since it is smaller than the sum of its proper divisors (41717493216).

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

13204830240 is a wasteful number, since it uses less digits than its factorization.

13204830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 590 counting only the distinct ones).

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

Subtracting from 13204830240 its reverse (4203840231), we obtain a palindrome (9000990009).

The spelling of 13204830240 in words is "thirteen billion, two hundred four million, eight hundred thirty thousand, two hundred forty".