115351356413440 has 480 divisors, whose sum is σ = 338759042006880. Its totient is φ = 37456629202944.

The previous prime is 115351356413431. The next prime is 115351356413471. The reversal of 115351356413440 is 44314653153511.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14388340312 + ... + 14388348328.

It is an arithmetic number, because the mean of its divisors is an integer number (705748004181).

Almost surely, 2^{115351356413440} is an apocalyptic number.

115351356413440 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 115351356413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169379521003440).

115351356413440 is an abundant number, since it is smaller than the sum of its proper divisors (223407685593440).

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

115351356413440 is an equidigital number, since it uses as much as digits as its factorization.

115351356413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14110 (or 14087 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 115351356413440 in words is "one hundred fifteen trillion, three hundred fifty-one billion, three hundred fifty-six million, four hundred thirteen thousand, four hundred forty".