115476641879040 has 1056 divisors, whose sum is σ = 446245920347136. Its totient is φ = 27418817986560.

The previous prime is 115476641879033. The next prime is 115476641879041. The reversal of 115476641879040 is 40978146674511.

It is a happy number.

115476641879040 is a `hidden beast` number, since 1 + 1 + 5 + 476 + 6 + 41 + 87 + 9 + 0 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115476641879041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5812475187 + ... + 5812495053.

Almost surely, 2^{115476641879040} is an apocalyptic number.

115476641879040 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 115476641879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223122960173568).

115476641879040 is an abundant number, since it is smaller than the sum of its proper divisors (330769278468096).

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

115476641879040 is a wasteful number, since it uses less digits than its factorization.

115476641879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20255 (or 20234 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 115476641879040 in words is "one hundred fifteen trillion, four hundred seventy-six billion, six hundred forty-one million, eight hundred seventy-nine thousand, forty".