127981031640 has 512 divisors, whose sum is σ = 503416995840. Its totient is φ = 25237555200.

The previous prime is 127981031603. The next prime is 127981031653. The reversal of 127981031640 is 46130189721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 127981031592 and 127981031601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27837822 + ... + 27842418.

It is an arithmetic number, because the mean of its divisors is an integer number (983236320).

Almost surely, 2^127981031640 is an apocalyptic number.

127981031640 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 127981031640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251708497920).

127981031640 is an abundant number, since it is smaller than the sum of its proper divisors (375435964200).

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

127981031640 is a wasteful number, since it uses less digits than its factorization.

127981031640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 127981031640 in words is "one hundred twenty-seven billion, nine hundred eighty-one million, thirty-one thousand, six hundred forty".