242661172400 has 60 divisors (see below), whose sum is σ = 584419272600. Its totient is φ = 96827082240.

The previous prime is 242661172379. The next prime is 242661172447. The reversal of 242661172400 is 4271166242.

It is a happy number.

242661172400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 578030 + ... + 905229.

It is an arithmetic number, because the mean of its divisors is an integer number (9740321210).

Almost surely, 2^242661172400 is an apocalyptic number.

242661172400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242661172400 is an abundant number, since it is smaller than the sum of its proper divisors (341758100200).

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

242661172400 is a wasteful number, since it uses less digits than its factorization.

242661172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483686 (or 1483675 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 242661172400 in words is "two hundred forty-two billion, six hundred sixty-one million, one hundred seventy-two thousand, four hundred".