404408044001 has 8 divisors (see below), whose sum is σ = 435973363560. Its totient is φ = 372908011392.

The previous prime is 404408043997. The next prime is 404408044057. The reversal of 404408044001 is 100440804404.

It can be written as a sum of positive squares in 4 ways, for example, as 17642214976 + 386765829025 = 132824^2 + 621905^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 404408044001 - 2² = 404408043997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404408044501) 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 7 ways as a sum of consecutive naturals, for example, 16308866 + ... + 16333643.

It is an arithmetic number, because the mean of its divisors is an integer number (54496670445).

Almost surely, 2^404408044001 is an apocalyptic number.

It is an amenable number.

404408044001 is a deficient number, since it is larger than the sum of its proper divisors (31565319559).

404408044001 is a wasteful number, since it uses less digits than its factorization.

404408044001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32643475.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 404408044001 its reverse (100440804404), we get a palindrome (504848848405).

The spelling of 404408044001 in words is "four hundred four billion, four hundred eight million, forty-four thousand, one".