404004433221 has 6 divisors (see below), whose sum is σ = 583561959110. Its totient is φ = 269336288808.

The previous prime is 404004433219. The next prime is 404004433247. The reversal of 404004433221 is 122334400404.

It is a happy number.

404004433221 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 0 + 4 + 433 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 254130924996 + 149873508225 = 504114^2 + 387135^2 .

It is not a de Polignac number, because 404004433221 - 2¹ = 404004433219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404004433211) 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 5 ways as a sum of consecutive naturals, for example, 22444690726 + ... + 22444690743.

Almost surely, 2^404004433221 is an apocalyptic number.

It is an amenable number.

404004433221 is a deficient number, since it is larger than the sum of its proper divisors (179557525889).

404004433221 is a wasteful number, since it uses less digits than its factorization.

404004433221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44889381475 (or 44889381472 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 404004433221 its reverse (122334400404), we get a palindrome (526338833625).

It can be divided in two parts, 404004 and 433221, that added together give a square (837225 = 915²).

The spelling of 404004433221 in words is "four hundred four billion, four million, four hundred thirty-three thousand, two hundred twenty-one".