230323341142400 has 192 divisors, whose sum is σ = 620855531296560. Its totient is φ = 83732312064000.

The previous prime is 230323341142399. The next prime is 230323341142423. The reversal of 230323341142400 is 4241143323032.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135768212 + ... + 137454188.

Almost surely, 2^{230323341142400} is an apocalyptic number.

230323341142400 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 230323341142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310427765648280).

230323341142400 is an abundant number, since it is smaller than the sum of its proper divisors (390532190154160).

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

230323341142400 is a wasteful number, since it uses less digits than its factorization.

230323341142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689893 (or 1689876 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 230323341142400 its reverse (4241143323032), we get a palindrome (234564484465432).

The spelling of 230323341142400 in words is "two hundred thirty trillion, three hundred twenty-three billion, three hundred forty-one million, one hundred forty-two thousand, four hundred".