115404054110400 has 672 divisors, whose sum is σ = 440484959658240. Its totient is φ = 26141589504000.

The previous prime is 115404054110393. The next prime is 115404054110419. The reversal of 115404054110400 is 4011450404511.

It is a super-2 number, since 2×115404054110400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124303920 + ... + 125228880.

It is an arithmetic number, because the mean of its divisors is an integer number (655483570920).

Almost surely, 2^{115404054110400} is an apocalyptic number.

115404054110400 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 115404054110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220242479829120).

115404054110400 is an abundant number, since it is smaller than the sum of its proper divisors (325080905547840).

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

115404054110400 is a wasteful number, since it uses less digits than its factorization.

115404054110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925153 (or 925138 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 115404054110400 in words is "one hundred fifteen trillion, four hundred four billion, fifty-four million, one hundred ten thousand, four hundred".