406630636642260 has 36 divisors (see below), whose sum is σ = 1233446264482068. Its totient is φ = 108434836437888.

The previous prime is 406630636642253. The next prime is 406630636642261. The reversal of 406630636642260 is 62246636036604.

406630636642260 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 306 + 36 + 6 + 42 + 260 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149381243954244 + 257249392688016 = 12222162^2 + 16038996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 406630636642197 and 406630636642206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406630636642261) 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, 1129529546049 + ... + 1129529546408.

It is an arithmetic number, because the mean of its divisors is an integer number (34262396235613).

Almost surely, 2^{406630636642260} is an apocalyptic number.

It is an amenable number.

406630636642260 is an abundant number, since it is smaller than the sum of its proper divisors (826815627839808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406630636642260 is a wasteful number, since it uses less digits than its factorization.

406630636642260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259059092472 (or 2259059092467 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 54.

The spelling of 406630636642260 in words is "four hundred six trillion, six hundred thirty billion, six hundred thirty-six million, six hundred forty-two thousand, two hundred sixty".