4134006449291 has 2 divisors, whose sum is σ = 4134006449292. Its totient is φ = 4134006449290.

The previous prime is 4134006449263. The next prime is 4134006449299. The reversal of 4134006449291 is 1929446004314.

4134006449291 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4134006449291 is a prime.

It is not a weakly prime, because it can be changed into another prime (4134006449299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2067003224645 + 2067003224646.

It is an arithmetic number, because the mean of its divisors is an integer number (2067003224646).

Almost surely, 2^{4134006449291} is an apocalyptic number.

4134006449291 is a deficient number, since it is larger than the sum of its proper divisors (1).

4134006449291 is an equidigital number, since it uses as much as digits as its factorization.

4134006449291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 4134006449291 in words is "four trillion, one hundred thirty-four billion, six million, four hundred forty-nine thousand, two hundred ninety-one".