242234443044324 has 144 divisors (see below), whose sum is σ = 633309558336000. Its totient is φ = 78026405868288.

The previous prime is 242234443044313. The next prime is 242234443044379. The reversal of 242234443044324 is 423440344432242.

242234443044324 is a `hidden beast` number, since 2 + 42 + 234 + 44 + 304 + 4 + 32 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242234443044324.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39225282 + ... + 44978790.

It is an arithmetic number, because the mean of its divisors is an integer number (4397983044000).

Almost surely, 2^{242234443044324} 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 242234443044324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316654779168000).

242234443044324 is an abundant number, since it is smaller than the sum of its proper divisors (391075115291676).

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

242234443044324 is a wasteful number, since it uses less digits than its factorization.

242234443044324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753882 (or 5753877 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 45.

Adding to 242234443044324 its reverse (423440344432242), we get a palindrome (665674787476566).

The spelling of 242234443044324 in words is "two hundred forty-two trillion, two hundred thirty-four billion, four hundred forty-three million, forty-four thousand, three hundred twenty-four".