13241140400 has 120 divisors (see below), whose sum is σ = 32240612064. Its totient is φ = 5225472000.

The previous prime is 13241140399. The next prime is 13241140439. The reversal of 13241140400 is 404114231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19674464 + ... + 19675136.

Almost surely, 2^13241140400 is an apocalyptic number.

13241140400 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 13241140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120306032).

13241140400 is an abundant number, since it is smaller than the sum of its proper divisors (18999471664).

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

13241140400 is a wasteful number, since it uses less digits than its factorization.

13241140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13241140400 its reverse (404114231), we get a palindrome (13645254631).

The spelling of 13241140400 in words is "thirteen billion, two hundred forty-one million, one hundred forty thousand, four hundred".