115340351124240 has 960 divisors, whose sum is σ = 465564381115392. Its totient is φ = 25270542336000.

The previous prime is 115340351124181. The next prime is 115340351124253. The reversal of 115340351124240 is 42421153043511.

115340351124240 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 40 + 351 + 1 + 24 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115340351124195 and 115340351124204.

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 191 ways as a sum of consecutive naturals, for example, 335216290 + ... + 335560190.

Almost surely, 2^{115340351124240} is an apocalyptic number.

115340351124240 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 115340351124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232782190557696).

115340351124240 is an abundant number, since it is smaller than the sum of its proper divisors (350224029991152).

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

115340351124240 is a wasteful number, since it uses less digits than its factorization.

115340351124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344048 (or 344039 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 115340351124240 in words is "one hundred fifteen trillion, three hundred forty billion, three hundred fifty-one million, one hundred twenty-four thousand, two hundred forty".