4140164673 has 12 divisors (see below), whose sum is σ = 6002979840. Its totient is φ = 2749613496.

The previous prime is 4140164653. The next prime is 4140164689. The reversal of 4140164673 is 3764610414.

4140164673 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 1 + 646 + 7 + 3 = 666.

It is not a de Polignac number, because 4140164673 - 2⁵ = 4140164641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4140164603) 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 11 ways as a sum of consecutive naturals, for example, 872193 + ... + 876926.

It is an arithmetic number, because the mean of its divisors is an integer number (500248320).

Almost surely, 2^4140164673 is an apocalyptic number.

It is an amenable number.

4140164673 is a deficient number, since it is larger than the sum of its proper divisors (1862815167).

4140164673 is a wasteful number, since it uses less digits than its factorization.

4140164673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749388 (or 1749385 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4140164673 is about 64344.1114088927. Note that the first 3 decimals coincide. The cubic root of 4140164673 is about 1605.7300629529.

The spelling of 4140164673 in words is "four billion, one hundred forty million, one hundred sixty-four thousand, six hundred seventy-three".