4160767100427 has 40 divisors (see below), whose sum is σ = 7103655609600. Its totient is φ = 2377492548336.

The previous prime is 4160767100393. The next prime is 4160767100431. The reversal of 4160767100427 is 7240017670614.

4160767100427 is a `hidden beast` number, since 4 + 1 + 60 + 7 + 67 + 100 + 427 = 666.

It is not a de Polignac number, because 4160767100427 - 2¹⁴ = 4160767084043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4160767100437) 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 39 ways as a sum of consecutive naturals, for example, 16967074 + ... + 17210552.

It is an arithmetic number, because the mean of its divisors is an integer number (177591390240).

Almost surely, 2^{4160767100427} is an apocalyptic number.

4160767100427 is a deficient number, since it is larger than the sum of its proper divisors (2942888509173).

4160767100427 is a wasteful number, since it uses less digits than its factorization.

4160767100427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273637 (or 273628 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 4160767100427 in words is "four trillion, one hundred sixty billion, seven hundred sixty-seven million, one hundred thousand, four hundred twenty-seven".