242313414440220 has 72 divisors (see below), whose sum is σ = 735027793928064. Its totient is φ = 64615992997248.

The previous prime is 242313414440177. The next prime is 242313414440243. The reversal of 242313414440220 is 22044414313242.

242313414440220 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 13 + 414 + 4 + 4 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3201502 + ... + 22245818.

It is an arithmetic number, because the mean of its divisors is an integer number (10208719360112).

Almost surely, 2^{242313414440220} is an apocalyptic number.

242313414440220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242313414440220 is an abundant number, since it is smaller than the sum of its proper divisors (492714379487844).

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

242313414440220 is a wasteful number, since it uses less digits than its factorization.

242313414440220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19115019 (or 19115014 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 242313414440220 its reverse (22044414313242), we get a palindrome (264357828753462).

The spelling of 242313414440220 in words is "two hundred forty-two trillion, three hundred thirteen billion, four hundred fourteen million, four hundred forty thousand, two hundred twenty".