481271076721127 has 128 divisors (see below), whose sum is σ = 655690506240000. Its totient is φ = 341865905356800.

The previous prime is 481271076721091. The next prime is 481271076721151. The reversal of 481271076721127 is 721127670172184.

It is not a de Polignac number, because 481271076721127 - 2¹⁰ = 481271076720103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481271076721177) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7986678524 + ... + 7986738782.

It is an arithmetic number, because the mean of its divisors is an integer number (5122582080000).

Almost surely, 2^{481271076721127} is an apocalyptic number.

481271076721127 is a deficient number, since it is larger than the sum of its proper divisors (174419429518873).

481271076721127 is a wasteful number, since it uses less digits than its factorization.

481271076721127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61325.

The product of its (nonzero) digits is 3687936, while the sum is 56.

The spelling of 481271076721127 in words is "four hundred eighty-one trillion, two hundred seventy-one billion, seventy-six million, seven hundred twenty-one thousand, one hundred twenty-seven".