115205435240 has 128 divisors (see below), whose sum is σ = 313023744000. Its totient is φ = 37277376768.

The previous prime is 115205435239. The next prime is 115205435249. The reversal of 115205435240 is 42534502511.

It is a junction number, because it is equal to n+sod(n) for n = 115205435197 and 115205435206.

It is not an unprimeable number, because it can be changed into a prime (115205435249) 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, 1357991 + ... + 1440329.

It is an arithmetic number, because the mean of its divisors is an integer number (2445498000).

Almost surely, 2^115205435240 is an apocalyptic number.

115205435240 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 115205435240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156511872000).

115205435240 is an abundant number, since it is smaller than the sum of its proper divisors (197818308760).

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

115205435240 is a wasteful number, since it uses less digits than its factorization.

115205435240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82639 (or 82635 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 115205435240 its reverse (42534502511), we get a palindrome (157739937751).

The spelling of 115205435240 in words is "one hundred fifteen billion, two hundred five million, four hundred thirty-five thousand, two hundred forty".