242543120144 has 80 divisors (see below), whose sum is σ = 533278368000. Its totient is φ = 105938316288.

The previous prime is 242543120047. The next prime is 242543120207. The reversal of 242543120144 is 441021345242.

It is a self number, because there is not a number n which added to its sum of digits gives 242543120144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3734057 + ... + 3798455.

It is an arithmetic number, because the mean of its divisors is an integer number (6665979600).

Almost surely, 2^242543120144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242543120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266639184000).

242543120144 is an abundant number, since it is smaller than the sum of its proper divisors (290735247856).

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

242543120144 is a wasteful number, since it uses less digits than its factorization.

242543120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65392 (or 65386 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 242543120144 its reverse (441021345242), we get a palindrome (683564465386).

The spelling of 242543120144 in words is "two hundred forty-two billion, five hundred forty-three million, one hundred twenty thousand, one hundred forty-four".