242550142400 has 84 divisors (see below), whose sum is σ = 599502171072. Its totient is φ = 96584847360.

The previous prime is 242550142399. The next prime is 242550142421. The reversal of 242550142400 is 4241055242.

242550142400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16904 + ... + 696696.

It is an arithmetic number, because the mean of its divisors is an integer number (7136930608).

Almost surely, 2^242550142400 is an apocalyptic number.

242550142400 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 242550142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299751085536).

242550142400 is an abundant number, since it is smaller than the sum of its proper divisors (356952028672).

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

242550142400 is a wasteful number, since it uses less digits than its factorization.

242550142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680038 (or 680023 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 242550142400 its reverse (4241055242), we get a palindrome (246791197642).

The spelling of 242550142400 in words is "two hundred forty-two billion, five hundred fifty million, one hundred forty-two thousand, four hundred".