115142042224000 has 256 divisors, whose sum is σ = 314543425996800. Its totient is φ = 41568602880000.

The previous prime is 115142042223937. The next prime is 115142042224031. The reversal of 115142042224000 is 422240241511.

It is a self number, because there is not a number n which added to its sum of digits gives 115142042224000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22110705 + ... + 26817295.

It is an arithmetic number, because the mean of its divisors is an integer number (1228685257800).

Almost surely, 2^{115142042224000} is an apocalyptic number.

115142042224000 is a gapful number since it is divisible by the number (10) 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 115142042224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157271712998400).

115142042224000 is an abundant number, since it is smaller than the sum of its proper divisors (199401383772800).

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

115142042224000 is a wasteful number, since it uses less digits than its factorization.

115142042224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706770 (or 4706748 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 115142042224000 its reverse (422240241511), we get a palindrome (115564282465511).

The spelling of 115142042224000 in words is "one hundred fifteen trillion, one hundred forty-two billion, forty-two million, two hundred twenty-four thousand".