242042354105200 has 120 divisors (see below), whose sum is σ = 671686948011600. Its totient is φ = 82838024908800.

The previous prime is 242042354105159. The next prime is 242042354105207. The reversal of 242042354105200 is 2501453240242.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242042354105207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1617855375 + ... + 1618004974.

It is an arithmetic number, because the mean of its divisors is an integer number (5597391233430).

Almost surely, 2^{242042354105200} is an apocalyptic number.

242042354105200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242042354105200 is an abundant number, since it is smaller than the sum of its proper divisors (429644593906400).

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

242042354105200 is a wasteful number, since it uses less digits than its factorization.

242042354105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235860395 (or 3235860384 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 242042354105200 in words is "two hundred forty-two trillion, forty-two billion, three hundred fifty-four million, one hundred five thousand, two hundred".