242721315200 has 576 divisors, whose sum is σ = 750804757920. Its totient is φ = 75910348800.

The previous prime is 242721315173. The next prime is 242721315209. The reversal of 242721315200 is 2513127242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242721315209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 367202870 + ... + 367203530.

Almost surely, 2^242721315200 is an apocalyptic number.

242721315200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242721315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375402378960).

242721315200 is an abundant number, since it is smaller than the sum of its proper divisors (508083442720).

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

242721315200 is a wasteful number, since it uses less digits than its factorization.

242721315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 242721315200 in words is "two hundred forty-two billion, seven hundred twenty-one million, three hundred fifteen thousand, two hundred".