242330433320304 has 240 divisors, whose sum is σ = 775839065496768. Its totient is φ = 69168831234048.

The previous prime is 242330433320279. The next prime is 242330433320321. The reversal of 242330433320304 is 403023334033242.

242330433320304 is a `hidden beast` number, since 2 + 4 + 23 + 3 + 0 + 4 + 3 + 3 + 320 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 8624765584 + ... + 8624793680.

Almost surely, 2^{242330433320304} is an apocalyptic number.

242330433320304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242330433320304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387919532748384).

242330433320304 is an abundant number, since it is smaller than the sum of its proper divisors (533508632176464).

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

242330433320304 is a wasteful number, since it uses less digits than its factorization.

242330433320304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36272 (or 36263 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 242330433320304 its reverse (403023334033242), we get a palindrome (645353767353546).

The spelling of 242330433320304 in words is "two hundred forty-two trillion, three hundred thirty billion, four hundred thirty-three million, three hundred twenty thousand, three hundred four".