230325943910400 has 1440 divisors, whose sum is σ = 940716768051200. Its totient is φ = 54865664409600.

The previous prime is 230325943910399. The next prime is 230325943910401. The reversal of 230325943910400 is 4019349523032.

230325943910400 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 2 + 594 + 3 + 9 + 10 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230325943910399) and next prime (230325943910401).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230325943910401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4456831761 + ... + 4456883439.

Almost surely, 2^{230325943910400} is an apocalyptic number.

230325943910400 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 230325943910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470358384025600).

230325943910400 is an abundant number, since it is smaller than the sum of its proper divisors (710390824140800).

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

230325943910400 is a wasteful number, since it uses less digits than its factorization.

230325943910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51770 (or 51733 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 230325943910400 in words is "two hundred thirty trillion, three hundred twenty-five billion, nine hundred forty-three million, nine hundred ten thousand, four hundred".