115233859440 has 800 divisors, whose sum is σ = 501102391680. Its totient is φ = 23930339328.

The previous prime is 115233859381. The next prime is 115233859511. The reversal of 115233859440 is 44958332511.

115233859440 is a `hidden beast` number, since 1 + 1 + 5 + 23 + 38 + 594 + 4 + 0 = 666.

It is a super-2 number, since 2×115233859440² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22359904 + ... + 22365056.

Almost surely, 2^115233859440 is an apocalyptic number.

115233859440 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 115233859440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250551195840).

115233859440 is an abundant number, since it is smaller than the sum of its proper divisors (385868532240).

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

115233859440 is a wasteful number, since it uses less digits than its factorization.

115233859440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 115233859440 in words is "one hundred fifteen billion, two hundred thirty-three million, eight hundred fifty-nine thousand, four hundred forty".