242241133252144 has 80 divisors (see below), whose sum is σ = 523066934073600. Its totient is φ = 107908594633728.

The previous prime is 242241133252109. The next prime is 242241133252189. The reversal of 242241133252144 is 441252331142242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 242241133252097 and 242241133252106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9016062 + ... + 23785954.

It is an arithmetic number, because the mean of its divisors is an integer number (6538336675920).

Almost surely, 2^{242241133252144} 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 242241133252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261533467036800).

242241133252144 is an abundant number, since it is smaller than the sum of its proper divisors (280825800821456).

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

242241133252144 is a wasteful number, since it uses less digits than its factorization.

242241133252144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14772662 (or 14772656 counting only the distinct ones).

The product of its digits is 368640, while the sum is 40.

Adding to 242241133252144 its reverse (441252331142242), we get a palindrome (683493464394386).

The spelling of 242241133252144 in words is "two hundred forty-two trillion, two hundred forty-one billion, one hundred thirty-three million, two hundred fifty-two thousand, one hundred forty-four".