242361667200 has 384 divisors, whose sum is σ = 810370008000. Its totient is φ = 63656919040.

The previous prime is 242361667181. The next prime is 242361667243. The reversal of 242361667200 is 2766163242.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357993262 + ... + 357993938.

Almost surely, 2^242361667200 is an apocalyptic number.

242361667200 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 242361667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405185004000).

242361667200 is an abundant number, since it is smaller than the sum of its proper divisors (568008340800).

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

242361667200 is a wasteful number, since it uses less digits than its factorization.

242361667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 242361667200 in words is "two hundred forty-two billion, three hundred sixty-one million, six hundred sixty-seven thousand, two hundred".