115340276740400 has 360 divisors, whose sum is σ = 306047131729920. Its totient is φ = 41719011840000.

The previous prime is 115340276740363. The next prime is 115340276740477. The reversal of 115340276740400 is 4047672043511.

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 71 ways as a sum of consecutive naturals, for example, 498004625 + ... + 498236175.

It is an arithmetic number, because the mean of its divisors is an integer number (850130921472).

Almost surely, 2^{115340276740400} is an apocalyptic number.

115340276740400 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 115340276740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153023565864960).

115340276740400 is an abundant number, since it is smaller than the sum of its proper divisors (190706854989520).

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

115340276740400 is a wasteful number, since it uses less digits than its factorization.

115340276740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231773 (or 231745 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 115340276740400 in words is "one hundred fifteen trillion, three hundred forty billion, two hundred seventy-six million, seven hundred forty thousand, four hundred".