405630517474201 has 10 divisors (see below), whose sum is σ = 430982121365762. Its totient is φ = 381769898720640.

The previous prime is 405630517474159. The next prime is 405630517474211. The reversal of 405630517474201 is 102474715036504.

It can be written as a sum of positive squares in 5 ways, for example, as 936828474201 + 404693689000000 = 967899^2 + 20117000^2 .

It is not a de Polignac number, because 405630517474201 - 2³¹ = 405628369990553 is a prime.

It is a super-2 number, since 2×405630517474201² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405630517474211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2428231020 + ... + 2428398061.

Almost surely, 2^{405630517474201} is an apocalyptic number.

It is an amenable number.

405630517474201 is a deficient number, since it is larger than the sum of its proper divisors (25351603891561).

405630517474201 is an frugal number, since it uses more digits than its factorization.

405630517474201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856629149 (or 4856629098 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 405630517474201 in words is "four hundred five trillion, six hundred thirty billion, five hundred seventeen million, four hundred seventy-four thousand, two hundred one".