4135198409 has 2 divisors, whose sum is σ = 4135198410. Its totient is φ = 4135198408.

The previous prime is 4135198373. The next prime is 4135198411. The reversal of 4135198409 is 9048915314.

4135198409 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., 4041399184 + 93799225 = 63572^2 + 9685^2 .

It is a cyclic number.

It is not a de Polignac number, because 4135198409 - 2²⁸ = 3866762953 is a prime.

It is a super-2 number, since 2×4135198409² = 34199731763592262562, which contains 22 as substring.

Together with 4135198411, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4135198409.

It is not a weakly prime, because it can be changed into another prime (4135198429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2067599204 + 2067599205.

It is an arithmetic number, because the mean of its divisors is an integer number (2067599205).

Almost surely, 2^4135198409 is an apocalyptic number.

It is an amenable number.

4135198409 is a deficient number, since it is larger than the sum of its proper divisors (1).

4135198409 is an equidigital number, since it uses as much as digits as its factorization.

4135198409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 4135198409 is about 64305.5083876957. The cubic root of 4135198409 is about 1605.0877640178.

The spelling of 4135198409 in words is "four billion, one hundred thirty-five million, one hundred ninety-eight thousand, four hundred nine".