127639319040 has 120 divisors (see below), whose sum is σ = 442050940188. Its totient is φ = 34037145600.

The previous prime is 127639319039. The next prime is 127639319069. The reversal of 127639319040 is 40913936721.

127639319040 is a `hidden beast` number, since 1 + 2 + 7 + 639 + 3 + 1 + 9 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112219640064 + 15419678976 = 334992^2 + 124176^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2746911 + ... + 2792990.

Almost surely, 2^127639319040 is an apocalyptic number.

127639319040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127639319040 is an abundant number, since it is smaller than the sum of its proper divisors (314411621148).

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

127639319040 is an equidigital number, since it uses as much as digits as its factorization.

127639319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5539930 (or 5539911 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 127639319040 in words is "one hundred twenty-seven billion, six hundred thirty-nine million, three hundred nineteen thousand, forty".