13024404400 has 120 divisors (see below), whose sum is σ = 36633842784. Its totient is φ = 4356556800.

The previous prime is 13024404377. The next prime is 13024404401. The reversal of 13024404400 is 440442031.

It is not an unprimeable number, because it can be changed into a prime (13024404401) 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, 58074 + ... + 171526.

Almost surely, 2^13024404400 is an apocalyptic number.

13024404400 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 13024404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18316921392).

13024404400 is an abundant number, since it is smaller than the sum of its proper divisors (23609438384).

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

13024404400 is a wasteful number, since it uses less digits than its factorization.

13024404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113519 (or 113508 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 13024404400 its reverse (440442031), we get a palindrome (13464846431).

The spelling of 13024404400 in words is "thirteen billion, twenty-four million, four hundred four thousand, four hundred".