13002404400 has 360 divisors, whose sum is σ = 46860143616. Its totient is φ = 3335155200.

The previous prime is 13002404381. The next prime is 13002404407. The reversal of 13002404400 is 440420031.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×13002404400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13002404407) 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, 29350579 + ... + 29351021.

Almost surely, 2^13002404400 is an apocalyptic number.

13002404400 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 13002404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23430071808).

13002404400 is an abundant number, since it is smaller than the sum of its proper divisors (33857739216).

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

13002404400 is a wasteful number, since it uses less digits than its factorization.

13002404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13002404400 its reverse (440420031), we get a palindrome (13442824431).

The spelling of 13002404400 in words is "thirteen billion, two million, four hundred four thousand, four hundred".