240013728400 has 120 divisors (see below), whose sum is σ = 580611659904. Its totient is φ = 95345241600.

The previous prime is 240013728397. The next prime is 240013728413. The reversal of 240013728400 is 4827310042.

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, 39131734 + ... + 39137866.

Almost surely, 2^240013728400 is an apocalyptic number.

240013728400 is a gapful number since it is divisible by the number (20) 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 240013728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290305829952).

240013728400 is an abundant number, since it is smaller than the sum of its proper divisors (340597931504).

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

240013728400 is a wasteful number, since it uses less digits than its factorization.

240013728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 240013728400 in words is "two hundred forty billion, thirteen million, seven hundred twenty-eight thousand, four hundred".