127142606976840 has 1152 divisors, whose sum is σ = 523560414031200. Its totient is φ = 26520315494400.

The previous prime is 127142606976829. The next prime is 127142606976877. The reversal of 127142606976840 is 48679606241721.

127142606976840 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 426 + 0 + 69 + 76 + 84 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 57769333176996 + 69373273799844 = 7600614^2 + 8329062^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16977243816 + ... + 16977251304.

Almost surely, 2^{127142606976840} is an apocalyptic number.

127142606976840 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 127142606976840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261780207015600).

127142606976840 is an abundant number, since it is smaller than the sum of its proper divisors (396417807054360).

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

127142606976840 is a wasteful number, since it uses less digits than its factorization.

127142606976840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8367 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 127142606976840 in words is "one hundred twenty-seven trillion, one hundred forty-two billion, six hundred six million, nine hundred seventy-six thousand, eight hundred forty".