242032552024000 has 224 divisors, whose sum is σ = 600897246768000. Its totient is φ = 96570465689600.

The previous prime is 242032552023991. The next prime is 242032552024031. The reversal of 242032552024000 is 420255230242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5188352676 + ... + 5188399324.

It is an arithmetic number, because the mean of its divisors is an integer number (2682576994500).

Almost surely, 2^{242032552024000} is an apocalyptic number.

242032552024000 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 242032552024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300448623384000).

242032552024000 is an abundant number, since it is smaller than the sum of its proper divisors (358864694744000).

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

242032552024000 is an equidigital number, since it uses as much as digits as its factorization.

242032552024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48288 (or 48268 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The spelling of 242032552024000 in words is "two hundred forty-two trillion, thirty-two billion, five hundred fifty-two million, twenty-four thousand".