127881973440 has 672 divisors, whose sum is σ = 483405826176. Its totient is φ = 30841896960.

The previous prime is 127881973433. The next prime is 127881973441. The reversal of 127881973440 is 44379188721.

127881973440 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 8 + 197 + 3 + 440 = 666.

It is not an unprimeable number, because it can be changed into a prime (127881973441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 706530150 + ... + 706530330.

It is an arithmetic number, because the mean of its divisors is an integer number (719353908).

Almost surely, 2^127881973440 is an apocalyptic number.

127881973440 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 127881973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241702913088).

127881973440 is an abundant number, since it is smaller than the sum of its proper divisors (355523852736).

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

127881973440 is a wasteful number, since it uses less digits than its factorization.

127881973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 127881973440 in words is "one hundred twenty-seven billion, eight hundred eighty-one million, nine hundred seventy-three thousand, four hundred forty".