127421940508128 has 432 divisors, whose sum is σ = 452972829660624. Its totient is φ = 33753305456640.

The previous prime is 127421940508001. The next prime is 127421940508199. The reversal of 127421940508128 is 821805049124721.

127421940508128 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 2 + 1 + 9 + 4 + 0 + 508 + 128 = 666.

It is a super-2 number, since 2×127421940508128² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12109858 + ... + 20037278.

It is an arithmetic number, because the mean of its divisors is an integer number (1048548216807).

Almost surely, 2^{127421940508128} is an apocalyptic number.

127421940508128 is a gapful number since it is divisible by the number (18) 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 127421940508128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226486414830312).

127421940508128 is an abundant number, since it is smaller than the sum of its proper divisors (325550889152496).

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

127421940508128 is a wasteful number, since it uses less digits than its factorization.

127421940508128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927535 (or 7927517 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 127421940508128 in words is "one hundred twenty-seven trillion, four hundred twenty-one billion, nine hundred forty million, five hundred eight thousand, one hundred twenty-eight".