230340142032000 has 2048 divisors, whose sum is σ = 1069803079188480. Its totient is φ = 42260004864000.

The previous prime is 230340142031953. The next prime is 230340142032019. The reversal of 230340142032000 is 230241043032.

It is a super-3 number, since 3×230340142032000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1104999784 + ... + 1105208216.

It is an arithmetic number, because the mean of its divisors is an integer number (522364784760).

Almost surely, 2^{230340142032000} is an apocalyptic number.

230340142032000 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 230340142032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534901539594240).

230340142032000 is an abundant number, since it is smaller than the sum of its proper divisors (839462937156480).

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

230340142032000 is a wasteful number, since it uses less digits than its factorization.

230340142032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208519 (or 208497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 230340142032000 its reverse (230241043032), we get a palindrome (230570383075032).

The spelling of 230340142032000 in words is "two hundred thirty trillion, three hundred forty billion, one hundred forty-two million, thirty-two thousand".