4071104077577 has 2 divisors, whose sum is σ = 4071104077578. Its totient is φ = 4071104077576.

The previous prime is 4071104077543. The next prime is 4071104077591. The reversal of 4071104077577 is 7757704011704.

4071104077577 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2587687259641 + 1483416817936 = 1608629^2 + 1217956^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4071104077577 is a prime.

It is not a weakly prime, because it can be changed into another prime (4071104077517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2035552038788 + 2035552038789.

It is an arithmetic number, because the mean of its divisors is an integer number (2035552038789).

Almost surely, 2^{4071104077577} is an apocalyptic number.

It is an amenable number.

4071104077577 is a deficient number, since it is larger than the sum of its proper divisors (1).

4071104077577 is an equidigital number, since it uses as much as digits as its factorization.

4071104077577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344560, while the sum is 50.

The spelling of 4071104077577 in words is "four trillion, seventy-one billion, one hundred four million, seventy-seven thousand, five hundred seventy-seven".