4004440324441 has 2 divisors, whose sum is σ = 4004440324442. Its totient is φ = 4004440324440.

The previous prime is 4004440324421. The next prime is 4004440324453. The reversal of 4004440324441 is 1444230444004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3958030670400 + 46409654041 = 1989480^2 + 215429^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4004440324441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4004440324397 and 4004440324406.

It is not a weakly prime, because it can be changed into another prime (4004440324421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002220162220 + 2002220162221.

It is an arithmetic number, because the mean of its divisors is an integer number (2002220162221).

Almost surely, 2^{4004440324441} is an apocalyptic number.

It is an amenable number.

4004440324441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004440324441 is an equidigital number, since it uses as much as digits as its factorization.

4004440324441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 4004440324441 its reverse (1444230444004), we get a palindrome (5448670768445).

The spelling of 4004440324441 in words is "four trillion, four billion, four hundred forty million, three hundred twenty-four thousand, four hundred forty-one".