8414209441 has 27 divisors (see below), whose sum is σ = 9592303539. Its totient is φ = 7375011600.

The previous prime is 8414209423. The next prime is 8414209481. The reversal of 8414209441 is 1449024148.

The square root of 8414209441 is 91729.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 553613841 + 7860595600 = 23529^2 + 88660^2 .

It is not a de Polignac number, because 8414209441 - 2⁵ = 8414209409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8414209441.

It is not an unprimeable number, because it can be changed into a prime (8414209481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31279455 + ... + 31279723.

Almost surely, 2^8414209441 is an apocalyptic number.

8414209441 is the 91729-th square number.

8414209441 is the 45865-th centered octagonal number.

It is an amenable number.

8414209441 is a deficient number, since it is larger than the sum of its proper divisors (1178094098).

8414209441 is an equidigital number, since it uses as much as digits as its factorization.

8414209441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The cubic root of 8414209441 is about 2033.9382920509.

Multiplying 8414209441 by its product of nonzero digits (36864), we get a square (310181416833024 = 17611968²).

The spelling of 8414209441 in words is "eight billion, four hundred fourteen million, two hundred nine thousand, four hundred forty-one".