127993396440 has 1024 divisors, whose sum is σ = 539547402240. Its totient is φ = 23503011840.

The previous prime is 127993396439. The next prime is 127993396477. The reversal of 127993396440 is 44693399721.

It is a happy number.

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 255 ways as a sum of consecutive naturals, for example, 132360837 + ... + 132361803.

It is an arithmetic number, because the mean of its divisors is an integer number (526901760).

Almost surely, 2^127993396440 is an apocalyptic number.

127993396440 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 127993396440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269773701120).

127993396440 is an abundant number, since it is smaller than the sum of its proper divisors (411554005800).

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

127993396440 is a wasteful number, since it uses less digits than its factorization.

127993396440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 127993396440 in words is "one hundred twenty-seven billion, nine hundred ninety-three million, three hundred ninety-six thousand, four hundred forty".