115364241121140 has 432 divisors, whose sum is σ = 397117070558208. Its totient is φ = 27060397056000.

The previous prime is 115364241121117. The next prime is 115364241121141. The reversal of 115364241121140 is 41121142463511.

115364241121140 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 6 + 424 + 11 + 211 + 4 + 0 = 666.

It is a super-3 number, since 3×115364241121140³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115364241121095 and 115364241121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115364241121141) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5747797305 + ... + 5747817375.

It is an arithmetic number, because the mean of its divisors is an integer number (919252478144).

Almost surely, 2^{115364241121140} is an apocalyptic number.

115364241121140 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 115364241121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198558535279104).

115364241121140 is an abundant number, since it is smaller than the sum of its proper divisors (281752829437068).

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

115364241121140 is a wasteful number, since it uses less digits than its factorization.

115364241121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28652 (or 28636 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 115364241121140 its reverse (41121142463511), we get a palindrome (156485383584651).

The spelling of 115364241121140 in words is "one hundred fifteen trillion, three hundred sixty-four billion, two hundred forty-one million, one hundred twenty-one thousand, one hundred forty".