242413314400 has 72 divisors (see below), whose sum is σ = 607785942960. Its totient is φ = 94344629760.

The previous prime is 242413314379. The next prime is 242413314439. The reversal of 242413314400 is 4413314242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4065220 + ... + 4124419.

It is an arithmetic number, because the mean of its divisors is an integer number (8441471430).

Almost surely, 2^242413314400 is an apocalyptic number.

242413314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242413314400 is an abundant number, since it is smaller than the sum of its proper divisors (365372628560).

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

242413314400 is a wasteful number, since it uses less digits than its factorization.

242413314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189696 (or 8189683 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 242413314400 its reverse (4413314242), we get a palindrome (246826628642).

The spelling of 242413314400 in words is "two hundred forty-two billion, four hundred thirteen million, three hundred fourteen thousand, four hundred".