242721189467200 has 84 divisors (see below), whose sum is σ = 597262097441920. Its totient is φ = 97085830832640.

The previous prime is 242721189467191. The next prime is 242721189467203. The reversal of 242721189467200 is 2764981127242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (242721189467203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57214549 + ... + 61310251.

Almost surely, 2^{242721189467200} is an apocalyptic number.

242721189467200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242721189467200 is an abundant number, since it is smaller than the sum of its proper divisors (354540907974720).

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

242721189467200 is a wasteful number, since it uses less digits than its factorization.

242721189467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132764 (or 4132749 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 242721189467200 in words is "two hundred forty-two trillion, seven hundred twenty-one billion, one hundred eighty-nine million, four hundred sixty-seven thousand, two hundred".