404004040441 has 2 divisors, whose sum is σ = 404004040442. Its totient is φ = 404004040440.

The previous prime is 404004040421. The next prime is 404004040471. The reversal of 404004040441 is 144040400404.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 231630438400 + 172373602041 = 481280^2 + 415179^2 .

It is a cyclic number.

It is not a de Polignac number, because 404004040441 - 2¹¹ = 404004038393 is a prime.

It is not a weakly prime, because it can be changed into another prime (404004040421) 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, 202002020220 + 202002020221.

It is an arithmetic number, because the mean of its divisors is an integer number (202002020221).

Almost surely, 2^404004040441 is an apocalyptic number.

It is an amenable number.

404004040441 is a deficient number, since it is larger than the sum of its proper divisors (1).

404004040441 is an equidigital number, since it uses as much as digits as its factorization.

404004040441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 404004040441 its reverse (144040400404), we get a palindrome (548044440845).

The spelling of 404004040441 in words is "four hundred four billion, four million, forty thousand, four hundred forty-one".