242330733342720 has 1248 divisors, whose sum is σ = 983916495304704. Its totient is φ = 54511848652800.

The previous prime is 242330733342713. The next prime is 242330733342739. The reversal of 242330733342720 is 27243337033242.

242330733342720 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 307 + 3 + 334 + 2 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2447167129 + ... + 2447266151.

It is an arithmetic number, because the mean of its divisors is an integer number (788394627648).

Almost surely, 2^{242330733342720} is an apocalyptic number.

242330733342720 is a gapful number since it is divisible by the number (20) 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 242330733342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491958247652352).

242330733342720 is an abundant number, since it is smaller than the sum of its proper divisors (741585761961984).

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

242330733342720 is a wasteful number, since it uses less digits than its factorization.

242330733342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99157 (or 99132 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 45.

The spelling of 242330733342720 in words is "two hundred forty-two trillion, three hundred thirty billion, seven hundred thirty-three million, three hundred forty-two thousand, seven hundred twenty".