404041221 has 24 divisors (see below), whose sum is σ = 606167640. Its totient is φ = 259117056.

The previous prime is 404041177. The next prime is 404041237. The reversal of 404041221 is 122140404.

404041221 is a `hidden beast` number, since 40 + 404 + 1 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114190596 + 289850625 = 10686^2 + 17025^2 .

It is not a de Polignac number, because 404041221 - 2⁹ = 404040709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404041194 and 404041203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404041241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22821 + ... + 36453.

It is an arithmetic number, because the mean of its divisors is an integer number (25256985).

Almost surely, 2^404041221 is an apocalyptic number.

It is an amenable number.

404041221 is a deficient number, since it is larger than the sum of its proper divisors (202126419).

404041221 is a wasteful number, since it uses less digits than its factorization.

404041221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13765 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 404041221 is about 20100.7766267873. The cubic root of 404041221 is about 739.2793208877.

Adding to 404041221 its reverse (122140404), we get a palindrome (526181625).

The spelling of 404041221 in words is "four hundred four million, forty-one thousand, two hundred twenty-one".