405430006221 has 12 divisors (see below), whose sum is σ = 586051425180. Its totient is φ = 270088068480.

The previous prime is 405430006199. The next prime is 405430006243. The reversal of 405430006221 is 122600034504.

405430006221 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 30 + 0 + 0 + 622 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (405430006199) and next prime (405430006243).

It can be written as a sum of positive squares in 2 ways, for example, as 160292133225 + 245137872996 = 400365^2 + 495114^2 .

It is not a de Polignac number, because 405430006221 - 2²³ = 405421617613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405430006721) 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, 16537266 + ... + 16561763.

It is an arithmetic number, because the mean of its divisors is an integer number (48837618765).

Almost surely, 2^405430006221 is an apocalyptic number.

It is an amenable number.

405430006221 is a deficient number, since it is larger than the sum of its proper divisors (180621418959).

405430006221 is a wasteful number, since it uses less digits than its factorization.

405430006221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33100396 (or 33100393 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 405430006221 in words is "four hundred five billion, four hundred thirty million, six thousand, two hundred twenty-one".