242113824000 has 432 divisors, whose sum is σ = 909099120384. Its totient is φ = 61754880000.

The previous prime is 242113823993. The next prime is 242113824031. The reversal of 242113824000 is 428311242.

242113824000 is a `hidden beast` number, since 242 + 1 + 1 + 382 + 40 + 0 + 0 = 666.

It is a congruent number.

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, 6605725 + ... + 6642275.

It is an arithmetic number, because the mean of its divisors is an integer number (2104396112).

Almost surely, 2^242113824000 is an apocalyptic number.

242113824000 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 242113824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454549560192).

242113824000 is an abundant number, since it is smaller than the sum of its proper divisors (666985296384).

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

242113824000 is a wasteful number, since it uses less digits than its factorization.

242113824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36611 (or 36584 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 242113824000 in words is "two hundred forty-two billion, one hundred thirteen million, eight hundred twenty-four thousand".