242914209934000 has 120 divisors (see below), whose sum is σ = 645617789316864. Its totient is φ = 88332439888000.

The previous prime is 242914209933961. The next prime is 242914209934057. The reversal of 242914209934000 is 439902419242.

It is a happy 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, 501646864 + ... + 502130863.

Almost surely, 2^{242914209934000} is an apocalyptic number.

242914209934000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242914209934000 is an abundant number, since it is smaller than the sum of its proper divisors (402703579382864).

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

242914209934000 is a wasteful number, since it uses less digits than its factorization.

242914209934000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003777772 (or 1003777745 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 242914209934000 in words is "two hundred forty-two trillion, nine hundred fourteen billion, two hundred nine million, nine hundred thirty-four thousand".