242055513539424 has 576 divisors, whose sum is σ = 784513479859200. Its totient is φ = 70179643662336.

The previous prime is 242055513539417. The next prime is 242055513539429. The reversal of 242055513539424 is 424935315550242.

242055513539424 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 5 + 55 + 13 + 539 + 42 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242055513539429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10398008617 + ... + 10398031895.

It is an arithmetic number, because the mean of its divisors is an integer number (1362002569200).

Almost surely, 2^{242055513539424} is an apocalyptic number.

242055513539424 is a gapful number since it is divisible by the number (24) 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 242055513539424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392256739929600).

242055513539424 is an abundant number, since it is smaller than the sum of its proper divisors (542457966319776).

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

242055513539424 is a wasteful number, since it uses less digits than its factorization.

242055513539424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24107 (or 24096 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 242055513539424 in words is "two hundred forty-two trillion, fifty-five billion, five hundred thirteen million, five hundred thirty-nine thousand, four hundred twenty-four".