242524144000 has 256 divisors, whose sum is σ = 630745315200. Its totient is φ = 92563046400.

The previous prime is 242524143937. The next prime is 242524144001. The reversal of 242524144000 is 441425242.

It is a self number, because there is not a number n which added to its sum of digits gives 242524144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242524144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282991572 + ... + 282992428.

Almost surely, 2^242524144000 is an apocalyptic number.

242524144000 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 242524144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315372657600).

242524144000 is an abundant number, since it is smaller than the sum of its proper divisors (388221171200).

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

242524144000 is an equidigital number, since it uses as much as digits as its factorization.

242524144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 242524144000 its reverse (441425242), we get a palindrome (242965569242).

The spelling of 242524144000 in words is "two hundred forty-two billion, five hundred twenty-four million, one hundred forty-four thousand".