4177641641 has 2 divisors, whose sum is σ = 4177641642. Its totient is φ = 4177641640.

The previous prime is 4177641617. The next prime is 4177641667. The reversal of 4177641641 is 1461467714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2529687616 + 1647954025 = 50296^2 + 40595^2 .

It is a cyclic number.

It is not a de Polignac number, because 4177641641 - 2³⁰ = 3103899817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4177641341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2088820820 + 2088820821.

It is an arithmetic number, because the mean of its divisors is an integer number (2088820821).

Almost surely, 2^4177641641 is an apocalyptic number.

It is an amenable number.

4177641641 is a deficient number, since it is larger than the sum of its proper divisors (1).

4177641641 is an equidigital number, since it uses as much as digits as its factorization.

4177641641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112896, while the sum is 41.

The square root of 4177641641 is about 64634.6783159010. The cubic root of 4177641641 is about 1610.5605651887.

The spelling of 4177641641 in words is "four billion, one hundred seventy-seven million, six hundred forty-one thousand, six hundred forty-one".