4164440123601 has 12 divisors (see below), whose sum is σ = 6177878141812. Its totient is φ = 2701258458336.

The previous prime is 4164440123539. The next prime is 4164440123651. The reversal of 4164440123601 is 1063210444614.

4164440123601 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 4 + 40 + 1 + 2 + 3 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3624545822976 + 539894300625 = 1903824^2 + 734775^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4164440123601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4164440123651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6252912766 + ... + 6252913431.

Almost surely, 2^{4164440123601} is an apocalyptic number.

It is an amenable number.

4164440123601 is a deficient number, since it is larger than the sum of its proper divisors (2013438018211).

4164440123601 is a wasteful number, since it uses less digits than its factorization.

4164440123601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12505826240 (or 12505826237 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4164440123601 in words is "four trillion, one hundred sixty-four billion, four hundred forty million, one hundred twenty-three thousand, six hundred one".