404144442401 has 16 divisors (see below), whose sum is σ = 469152717696. Its totient is φ = 340962880896.

The previous prime is 404144442353. The next prime is 404144442433. The reversal of 404144442401 is 104244441404.

It is a cyclic number.

It is not a de Polignac number, because 404144442401 - 2¹⁴ = 404144426017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404144442461) 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 15 ways as a sum of consecutive naturals, for example, 231845 + ... + 928461.

It is an arithmetic number, because the mean of its divisors is an integer number (29322044856).

Almost surely, 2^404144442401 is an apocalyptic number.

It is an amenable number.

404144442401 is a deficient number, since it is larger than the sum of its proper divisors (65008275295).

404144442401 is a wasteful number, since it uses less digits than its factorization.

404144442401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697928.

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 404144442401 its reverse (104244441404), we get a palindrome (508388883805).

The spelling of 404144442401 in words is "four hundred four billion, one hundred forty-four million, four hundred forty-two thousand, four hundred one".