405013443201 has 12 divisors (see below), whose sum is σ = 586409018260. Its totient is φ = 269367608160.

The previous prime is 405013443181. The next prime is 405013443221. The reversal of 405013443201 is 102344310504.

It is a happy number.

405013443201 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 13 + 443 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (405013443181) and next prime (405013443221).

It can be written as a sum of positive squares in 2 ways, for example, as 30072762225 + 374940680976 = 173415^2 + 612324^2 .

It is not a de Polignac number, because 405013443201 - 2⁷ = 405013443073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405013443221) 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, 53442166 + ... + 53449743.

Almost surely, 2^405013443201 is an apocalyptic number.

It is an amenable number.

405013443201 is a deficient number, since it is larger than the sum of its proper divisors (181395575059).

405013443201 is a wasteful number, since it uses less digits than its factorization.

405013443201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106892336 (or 106892333 counting only the distinct ones).

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

Adding to 405013443201 its reverse (102344310504), we get a palindrome (507357753705).

The spelling of 405013443201 in words is "four hundred five billion, thirteen million, four hundred forty-three thousand, two hundred one".