115445227991040 has 624 divisors, whose sum is σ = 403512357021696. Its totient is φ = 30528611942400.

The previous prime is 115445227991029. The next prime is 115445227991063. The reversal of 115445227991040 is 40199722544511.

It is a happy number.

115445227991040 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 4 + 522 + 7 + 9 + 9 + 104 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 11652889767 + ... + 11652899673.

It is an arithmetic number, because the mean of its divisors is an integer number (646654418304).

Almost surely, 2^{115445227991040} is an apocalyptic number.

115445227991040 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 115445227991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201756178510848).

115445227991040 is an abundant number, since it is smaller than the sum of its proper divisors (288067129030656).

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

115445227991040 is a wasteful number, since it uses less digits than its factorization.

115445227991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 115445227991040 in words is "one hundred fifteen trillion, four hundred forty-five billion, two hundred twenty-seven million, nine hundred ninety-one thousand, forty".