242334433242 has 192 divisors, whose sum is σ = 606333911040. Its totient is φ = 69262300800.

The previous prime is 242334433129. The next prime is 242334433279.

242334433242 is a `hidden beast` number, since 2 + 42 + 3 + 344 + 33 + 242 = 666.

242334433242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242334433197 and 242334433206.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189767908 + ... + 189769184.

It is an arithmetic number, because the mean of its divisors is an integer number (3157989120).

Almost surely, 2^242334433242 is an apocalyptic number.

242334433242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242334433242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303166955520).

242334433242 is an abundant number, since it is smaller than the sum of its proper divisors (363999477798).

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

242334433242 is a wasteful number, since it uses less digits than its factorization.

242334433242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2086 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 242334 and 433242, that added together give a palindrome (675576).

The spelling of 242334433242 in words is "two hundred forty-two billion, three hundred thirty-four million, four hundred thirty-three thousand, two hundred forty-two".