115440573400704 has 384 divisors, whose sum is σ = 351613446912000. Its totient is φ = 36278836070400.

The previous prime is 115440573400693. The next prime is 115440573400717. The reversal of 115440573400704 is 407004375044511.

115440573400704 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 4 + 0 + 573 + 4 + 0 + 0 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 115440573400704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10216878447 + ... + 10216889745.

It is an arithmetic number, because the mean of its divisors is an integer number (915660018000).

Almost surely, 2^{115440573400704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115440573400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175806723456000).

115440573400704 is an abundant number, since it is smaller than the sum of its proper divisors (236172873511296).

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

115440573400704 is a wasteful number, since it uses less digits than its factorization.

115440573400704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16844 (or 16829 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 115440573400704 in words is "one hundred fifteen trillion, four hundred forty billion, five hundred seventy-three million, four hundred thousand, seven hundred four".