115370034400 has 72 divisors (see below), whose sum is σ = 282186642024. Its totient is φ = 46059609600.

The previous prime is 115370034371. The next prime is 115370034427. The reversal of 115370034400 is 4430073511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280530 + ... + 556270.

It is an arithmetic number, because the mean of its divisors is an integer number (3919258917).

Almost surely, 2^115370034400 is an apocalyptic number.

115370034400 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 115370034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141093321012).

115370034400 is an abundant number, since it is smaller than the sum of its proper divisors (166816607624).

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

115370034400 is a wasteful number, since it uses less digits than its factorization.

115370034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276284 (or 276271 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

It can be divided in two parts, 1153700 and 34400, that added together give a square (1188100 = 1090²).

The spelling of 115370034400 in words is "one hundred fifteen billion, three hundred seventy million, thirty-four thousand, four hundred".