242330486257200 has 720 divisors, whose sum is σ = 902105670934656. Its totient is φ = 55134593740800.

The previous prime is 242330486257157. The next prime is 242330486257259. The reversal of 242330486257200 is 2752684033242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 242330486257200.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 509638764 + ... + 510114036.

Almost surely, 2^{242330486257200} is an apocalyptic number.

242330486257200 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 242330486257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451052835467328).

242330486257200 is an abundant number, since it is smaller than the sum of its proper divisors (659775184677456).

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

242330486257200 is a wasteful number, since it uses less digits than its factorization.

242330486257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475450 (or 475420 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 242330486257200 in words is "two hundred forty-two trillion, three hundred thirty billion, four hundred eighty-six million, two hundred fifty-seven thousand, two hundred".