230441143114400 has 72 divisors (see below), whose sum is σ = 564566449864284. Its totient is φ = 91848427059200.

The previous prime is 230441143114363. The next prime is 230441143114421. The reversal of 230441143114400 is 4411341144032.

It can be written as a sum of positive squares in 6 ways, for example, as 48376531944976 + 182064611169424 = 6955324^2 + 13493132^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 512322227 + ... + 512771826.

Almost surely, 2^{230441143114400} is an apocalyptic number.

230441143114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230441143114400 is an abundant number, since it is smaller than the sum of its proper divisors (334125306749884).

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

230441143114400 is a wasteful number, since it uses less digits than its factorization.

230441143114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025094354 (or 1025094341 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 230441143114400 its reverse (4411341144032), we get a palindrome (234852484258432).

The spelling of 230441143114400 in words is "two hundred thirty trillion, four hundred forty-one billion, one hundred forty-three million, one hundred fourteen thousand, four hundred".