230115201440000 has 720 divisors, whose sum is σ = 616576362006528. Its totient is φ = 85381890048000.

The previous prime is 230115201439933. The next prime is 230115201440011. The reversal of 230115201440000 is 44102511032.

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 79 ways as a sum of consecutive naturals, for example, 54234077879 + ... + 54234082121.

Almost surely, 2^{230115201440000} is an apocalyptic number.

230115201440000 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 230115201440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308288181003264).

230115201440000 is an abundant number, since it is smaller than the sum of its proper divisors (386461160566528).

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

230115201440000 is a wasteful number, since it uses less digits than its factorization.

230115201440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 230115201440000 its reverse (44102511032), we get a palindrome (230159303951032).

The spelling of 230115201440000 in words is "two hundred thirty trillion, one hundred fifteen billion, two hundred one million, four hundred forty thousand".