242441120443014 has 96 divisors (see below), whose sum is σ = 556287794599680. Its totient is φ = 76178451513024.

The previous prime is 242441120442959. The next prime is 242441120443019. The reversal of 242441120443014 is 410344021144242.

242441120443014 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 4 + 1 + 1 + 204 + 430 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242441120443014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242441120443019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47938647 + ... + 52754109.

It is an arithmetic number, because the mean of its divisors is an integer number (5794664527080).

Almost surely, 2^{242441120443014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242441120443014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278143897299840).

242441120443014 is an abundant number, since it is smaller than the sum of its proper divisors (313846674156666).

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

242441120443014 is a wasteful number, since it uses less digits than its factorization.

242441120443014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817786 (or 4817783 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 242441120443014 its reverse (410344021144242), we get a palindrome (652785141587256).

The spelling of 242441120443014 in words is "two hundred forty-two trillion, four hundred forty-one billion, one hundred twenty million, four hundred forty-three thousand, fourteen".