404400440405 has 16 divisors (see below), whose sum is σ = 522936361584. Its totient is φ = 298447564800.

The previous prime is 404400440399. The next prime is 404400440413. The reversal of 404400440405 is 504044004404.

It can be written as a sum of positive squares in 8 ways, for example, as 2147673649 + 402252766756 = 46343^2 + 634234^2 .

It is not a de Polignac number, because 404400440405 - 2¹² = 404400436309 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1838954 + ... + 2047083.

It is an arithmetic number, because the mean of its divisors is an integer number (32683522599).

Almost surely, 2^404400440405 is an apocalyptic number.

It is an amenable number.

404400440405 is a deficient number, since it is larger than the sum of its proper divisors (118535921179).

404400440405 is a wasteful number, since it uses less digits than its factorization.

404400440405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887656.

The product of its (nonzero) digits is 20480, while the sum is 29.

Adding to 404400440405 its reverse (504044004404), we get a palindrome (908444444809).

The spelling of 404400440405 in words is "four hundred four billion, four hundred million, four hundred forty thousand, four hundred five".