115200440113440 has 192 divisors, whose sum is σ = 395878071496320. Its totient is φ = 27926852567040.

The previous prime is 115200440113433. The next prime is 115200440113453. The reversal of 115200440113440 is 44311044002511.

It is a super-2 number, since 2×115200440113440² (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 a junction number, because it is equal to n+sod(n) for n = 115200440113398 and 115200440113407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329809606 + ... + 330158714.

It is an arithmetic number, because the mean of its divisors is an integer number (2061864955710).

Almost surely, 2^{115200440113440} is an apocalyptic number.

115200440113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115200440113440 is an abundant number, since it is smaller than the sum of its proper divisors (280677631382880).

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

115200440113440 is a wasteful number, since it uses less digits than its factorization.

115200440113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411635 (or 411627 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 115200440113440 its reverse (44311044002511), we get a palindrome (159511484115951).

The spelling of 115200440113440 in words is "one hundred fifteen trillion, two hundred billion, four hundred forty million, one hundred thirteen thousand, four hundred forty".