404211442221 has 12 divisors (see below), whose sum is σ = 584981633340. Its totient is φ = 268957066560.

The previous prime is 404211442207. The next prime is 404211442223. The reversal of 404211442221 is 122244112404.

404211442221 is a `hidden beast` number, since 4 + 0 + 4 + 211 + 4 + 422 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87258206025 + 316953236196 = 295395^2 + 562986^2 .

It is not a de Polignac number, because 404211442221 - 2⁶ = 404211442157 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404211442223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43097406 + ... + 43106783.

It is an arithmetic number, because the mean of its divisors is an integer number (48748469445).

Almost surely, 2^404211442221 is an apocalyptic number.

It is an amenable number.

404211442221 is a deficient number, since it is larger than the sum of its proper divisors (180770191119).

404211442221 is a wasteful number, since it uses less digits than its factorization.

404211442221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86204716 (or 86204713 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 404211442221 its reverse (122244112404), we get a palindrome (526455554625).

The spelling of 404211442221 in words is "four hundred four billion, two hundred eleven million, four hundred forty-two thousand, two hundred twenty-one".