240113122400 has 72 divisors (see below), whose sum is σ = 586247649624. Its totient is φ = 96033536000.

The previous prime is 240113122397. The next prime is 240113122409. The reversal of 240113122400 is 4221311042.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240113122409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9908699 + ... + 9932901.

It is an arithmetic number, because the mean of its divisors is an integer number (8142328467).

Almost surely, 2^240113122400 is an apocalyptic number.

240113122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240113122400 is an abundant number, since it is smaller than the sum of its proper divisors (346134527224).

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

240113122400 is a wasteful number, since it uses less digits than its factorization.

240113122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36624 (or 36611 counting only the distinct ones).

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

Adding to 240113122400 its reverse (4221311042), we get a palindrome (244334433442).

The spelling of 240113122400 in words is "two hundred forty billion, one hundred thirteen million, one hundred twenty-two thousand, four hundred".