242505523441 has 16 divisors (see below), whose sum is σ = 251716248000. Its totient is φ = 233352504000.

The previous prime is 242505523409. The next prime is 242505523523. The reversal of 242505523441 is 144325505242.

242505523441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 242505523441 - 2⁵ = 242505523409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242505523441.

It is not an unprimeable number, because it can be changed into a prime (242505923441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12822210 + ... + 12841108.

It is an arithmetic number, because the mean of its divisors is an integer number (15732265500).

Almost surely, 2^242505523441 is an apocalyptic number.

It is an amenable number.

242505523441 is a deficient number, since it is larger than the sum of its proper divisors (9210724559).

242505523441 is a wasteful number, since it uses less digits than its factorization.

242505523441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20400.

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 242505523441 in words is "two hundred forty-two billion, five hundred five million, five hundred twenty-three thousand, four hundred forty-one".