404013444201 has 12 divisors (see below), whose sum is σ = 585439435828. Its totient is φ = 268481775744.

The previous prime is 404013444161. The next prime is 404013444221. The reversal of 404013444201 is 102444310404.

404013444201 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 13 + 444 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104766152976 + 299247291225 = 323676^2 + 547035^2 .

It is not a de Polignac number, because 404013444201 - 2⁷ = 404013444073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404013444221) 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 11 ways as a sum of consecutive naturals, for example, 71707060 + ... + 71712693.

Almost surely, 2^404013444201 is an apocalyptic number.

It is an amenable number.

404013444201 is a deficient number, since it is larger than the sum of its proper divisors (181425991627).

404013444201 is a wasteful number, since it uses less digits than its factorization.

404013444201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143420072 (or 143420069 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 404013444201 its reverse (102444310404), we get a palindrome (506457754605).

The spelling of 404013444201 in words is "four hundred four billion, thirteen million, four hundred forty-four thousand, two hundred one".