242435504144 has 20 divisors (see below), whose sum is σ = 494440831440. Its totient is φ = 114837870240.

The previous prime is 242435504131. The next prime is 242435504167. The reversal of 242435504144 is 441405534242.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 242435504098 and 242435504107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 398742302 + ... + 398742909.

It is an arithmetic number, because the mean of its divisors is an integer number (24722041572).

Almost surely, 2^242435504144 is an apocalyptic number.

It is an amenable number.

242435504144 is an abundant number, since it is smaller than the sum of its proper divisors (252005327296).

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

242435504144 is a wasteful number, since it uses less digits than its factorization.

242435504144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797485238 (or 797485232 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

The spelling of 242435504144 in words is "two hundred forty-two billion, four hundred thirty-five million, five hundred four thousand, one hundred forty-four".