242523024344000 has 224 divisors, whose sum is σ = 613609681551360. Its totient is φ = 94928423040000.

The previous prime is 242523024343939. The next prime is 242523024344021. The reversal of 242523024344000 is 443420325242.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 79437761 + ... + 82434239.

Almost surely, 2^{242523024344000} is an apocalyptic number.

242523024344000 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 242523024344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306804840775680).

242523024344000 is an abundant number, since it is smaller than the sum of its proper divisors (371086657207360).

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

242523024344000 is a wasteful number, since it uses less digits than its factorization.

242523024344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996724 (or 2996704 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 242523024344000 its reverse (443420325242), we get a palindrome (242966444669242).

The spelling of 242523024344000 in words is "two hundred forty-two trillion, five hundred twenty-three billion, twenty-four million, three hundred forty-four thousand".