242355177400 has 96 divisors (see below), whose sum is σ = 644117300640. Its totient is φ = 83074498560.

The previous prime is 242355177391. The next prime is 242355177433. The reversal of 242355177400 is 4771553242.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 7141272 + ... + 7175128.

It is an arithmetic number, because the mean of its divisors is an integer number (6709555215).

Almost surely, 2^242355177400 is an apocalyptic number.

242355177400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242355177400 is an abundant number, since it is smaller than the sum of its proper divisors (401762123240).

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

242355177400 is a wasteful number, since it uses less digits than its factorization.

242355177400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38993 (or 38984 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The spelling of 242355177400 in words is "two hundred forty-two billion, three hundred fifty-five million, one hundred seventy-seven thousand, four hundred".