242531968627200 has 1440 divisors, whose sum is σ = 965548923913728. Its totient is φ = 53453094912000.

The previous prime is 242531968627199. The next prime is 242531968627261. The reversal of 242531968627200 is 2726869135242.

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 143 ways as a sum of consecutive naturals, for example, 16390610202 + ... + 16390624998.

It is a 1-persistent number, because it is pandigital, but 2⋅242531968627200 = 485063937254400 is not.

Almost surely, 2^{242531968627200} is an apocalyptic number.

242531968627200 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 242531968627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482774461956864).

242531968627200 is an abundant number, since it is smaller than the sum of its proper divisors (723016955286528).

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

242531968627200 is a wasteful number, since it uses less digits than its factorization.

242531968627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15154 (or 15126 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 242531968627200 in words is "two hundred forty-two trillion, five hundred thirty-one billion, nine hundred sixty-eight million, six hundred twenty-seven thousand, two hundred".