127871151627440 has 160 divisors (see below), whose sum is σ = 320706516177600. Its totient is φ = 47134832394240.

The previous prime is 127871151627431. The next prime is 127871151627517. The reversal of 127871151627440 is 44726151178721.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3570904256 + ... + 3570940064.

It is an arithmetic number, because the mean of its divisors is an integer number (2004415726110).

Almost surely, 2^{127871151627440} is an apocalyptic number.

127871151627440 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 127871151627440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160353258088800).

127871151627440 is an abundant number, since it is smaller than the sum of its proper divisors (192835364550160).

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

127871151627440 is a wasteful number, since it uses less digits than its factorization.

127871151627440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41495 (or 41489 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 56.

The spelling of 127871151627440 in words is "one hundred twenty-seven trillion, eight hundred seventy-one billion, one hundred fifty-one million, six hundred twenty-seven thousand, four hundred forty".