4121411012009 has 2 divisors, whose sum is σ = 4121411012010. Its totient is φ = 4121411012008.

The previous prime is 4121411011997. The next prime is 4121411012123. The reversal of 4121411012009 is 9002101141214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2313319321600 + 1808091690409 = 1520960^2 + 1344653^2 .

It is a cyclic number.

It is not a de Polignac number, because 4121411012009 - 2²⁸ = 4121142576553 is a prime.

It is not a weakly prime, because it can be changed into another prime (4121411012809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2060705506004 + 2060705506005.

It is an arithmetic number, because the mean of its divisors is an integer number (2060705506005).

Almost surely, 2^{4121411012009} is an apocalyptic number.

It is an amenable number.

4121411012009 is a deficient number, since it is larger than the sum of its proper divisors (1).

4121411012009 is an equidigital number, since it uses as much as digits as its factorization.

4121411012009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 4121411012009 in words is "four trillion, one hundred twenty-one billion, four hundred eleven million, twelve thousand, nine".