127113817026240 has 4032 divisors, whose sum is σ = 534473313454080. Its totient is φ = 28694111846400.

The previous prime is 127113817026181. The next prime is 127113817026263. The reversal of 127113817026240 is 42620718311721.

It is a happy number.

127113817026240 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 1 + 3 + 8 + 17 + 0 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1310451721872 + ... + 1310451721968.

It is an arithmetic number, because the mean of its divisors is an integer number (132557865440).

Almost surely, 2^{127113817026240} is an apocalyptic number.

127113817026240 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 127113817026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267236656727040).

127113817026240 is an abundant number, since it is smaller than the sum of its proper divisors (407359496427840).

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

127113817026240 is a wasteful number, since it uses less digits than its factorization.

127113817026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 127113817026240 in words is "one hundred twenty-seven trillion, one hundred thirteen billion, eight hundred seventeen million, twenty-six thousand, two hundred forty".