115915393440 has 1152 divisors, whose sum is σ = 528353280000. Its totient is φ = 23290675200.

The previous prime is 115915393393. The next prime is 115915393441. The reversal of 115915393440 is 44393519511.

115915393440 is a `hidden beast` number, since 1 + 1 + 59 + 153 + 9 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (115915393441) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 92805936 + ... + 92807184.

It is an arithmetic number, because the mean of its divisors is an integer number (458640000).

Almost surely, 2^115915393440 is an apocalyptic number.

115915393440 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 115915393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640000).

115915393440 is an abundant number, since it is smaller than the sum of its proper divisors (412437886560).

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

115915393440 is a wasteful number, since it uses less digits than its factorization.

115915393440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 115915393440 in words is "one hundred fifteen billion, nine hundred fifteen million, three hundred ninety-three thousand, four hundred forty".