127714680392405 has 32 divisors (see below), whose sum is σ = 161914973552640. Its totient is φ = 96555883717440.

The previous prime is 127714680392393. The next prime is 127714680392449. The reversal of 127714680392405 is 504293086417721.

It is not a de Polignac number, because 127714680392405 - 2⁴⁰ = 126615168764629 is a prime.

It is a super-2 number, since 2×127714680392405² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

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, 29308286 + ... + 33382704.

It is an arithmetic number, because the mean of its divisors is an integer number (5059842923520).

It is a 2-persistent number, because it is pandigital, and so is 2⋅127714680392405 = 255429360784810, but 3⋅127714680392405 = 383144041177215 is not.

Almost surely, 2^{127714680392405} is an apocalyptic number.

It is an amenable number.

127714680392405 is a deficient number, since it is larger than the sum of its proper divisors (34200293160235).

127714680392405 is a wasteful number, since it uses less digits than its factorization.

127714680392405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079201.

The product of its (nonzero) digits is 20321280, while the sum is 59.

Adding to 127714680392405 its sum of digits (59), we get a square (127714680392464 = 11301092²).

The spelling of 127714680392405 in words is "one hundred twenty-seven trillion, seven hundred fourteen billion, six hundred eighty million, three hundred ninety-two thousand, four hundred five".