404444004001 has 4 divisors (see below), whose sum is σ = 404915934852. Its totient is φ = 403972073152.

The previous prime is 404444003983. The next prime is 404444004017. The reversal of 404444004001 is 100400444404.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 160659878976 + 243784125025 = 400824^2 + 493745^2 .

It is a cyclic number.

It is not a de Polignac number, because 404444004001 - 2⁵ = 404444003969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404444004031) 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 in 3 ways as a sum of consecutive naturals, for example, 235964140 + ... + 235965853.

It is an arithmetic number, because the mean of its divisors is an integer number (101228983713).

Almost surely, 2^404444004001 is an apocalyptic number.

It is an amenable number.

404444004001 is a deficient number, since it is larger than the sum of its proper divisors (471930851).

404444004001 is an equidigital number, since it uses as much as digits as its factorization.

404444004001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471930850.

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

Adding to 404444004001 its reverse (100400444404), we get a palindrome (504844448405).

The spelling of 404444004001 in words is "four hundred four billion, four hundred forty-four million, four thousand, one".