242643542712960 has 256 divisors, whose sum is σ = 806396157849600. Its totient is φ = 61981818716160.

The previous prime is 242643542712953. The next prime is 242643542712997. The reversal of 242643542712960 is 69217245346242.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 242643542712960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10085421 + ... + 24228140.

It is an arithmetic number, because the mean of its divisors is an integer number (3149984991600).

Almost surely, 2^{242643542712960} is an apocalyptic number.

242643542712960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242643542712960 is an abundant number, since it is smaller than the sum of its proper divisors (563752615136640).

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

242643542712960 is a wasteful number, since it uses less digits than its factorization.

242643542712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34313739 (or 34313727 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 242643542712960 in words is "two hundred forty-two trillion, six hundred forty-three billion, five hundred forty-two million, seven hundred twelve thousand, nine hundred sixty".