404004413401 has 16 divisors (see below), whose sum is σ = 449292499200. Its totient is φ = 361680415488.

The previous prime is 404004413383. The next prime is 404004413411. The reversal of 404004413401 is 104314400404.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 404004413401 - 2⁷ = 404004413273 is a prime.

It is a super-2 number, since 2×404004413401² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404004413411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7774320 + ... + 7826113.

It is an arithmetic number, because the mean of its divisors is an integer number (28080781200).

Almost surely, 2^404004413401 is an apocalyptic number.

It is an amenable number.

404004413401 is a deficient number, since it is larger than the sum of its proper divisors (45288085799).

404004413401 is a wasteful number, since it uses less digits than its factorization.

404004413401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15600528.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 404004413401 its reverse (104314400404), we get a palindrome (508318813805).

The spelling of 404004413401 in words is "four hundred four billion, four million, four hundred thirteen thousand, four hundred one".