115917834240 has 384 divisors, whose sum is σ = 443761718400. Its totient is φ = 28532736000.

The previous prime is 115917834239. The next prime is 115917834247. The reversal of 115917834240 is 42438719511.

115917834240 is a `hidden beast` number, since 1 + 1 + 59 + 178 + 3 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (115917834247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3578115 + ... + 3610365.

It is an arithmetic number, because the mean of its divisors is an integer number (1155629475).

Almost surely, 2^115917834240 is an apocalyptic number.

115917834240 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 115917834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221880859200).

115917834240 is an abundant number, since it is smaller than the sum of its proper divisors (327843884160).

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

115917834240 is a wasteful number, since it uses less digits than its factorization.

115917834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32300 (or 32274 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 115917834240 in words is "one hundred fifteen billion, nine hundred seventeen million, eight hundred thirty-four thousand, two hundred forty".