230740818739200 has 9720 divisors, whose sum is σ = 1210904803757376. Its totient is φ = 43163792179200.

The previous prime is 230740818739181. The next prime is 230740818739267. The reversal of 230740818739200 is 2937818047032.

230740818739200 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 408 + 187 + 39 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 10032209510389 + ... + 10032209510411.

Almost surely, 2^{230740818739200} is an apocalyptic number.

230740818739200 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 230740818739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605452401878688).

230740818739200 is an abundant number, since it is smaller than the sum of its proper divisors (980163985018176).

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

230740818739200 is a wasteful number, since it uses less digits than its factorization.

230740818739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 230740818739200 in words is "two hundred thirty trillion, seven hundred forty billion, eight hundred eighteen million, seven hundred thirty-nine thousand, two hundred".