408046604040 has 48 divisors (see below), whose sum is σ = 1326151464300. Its totient is φ = 108812427648.

The previous prime is 408046604027. The next prime is 408046604057. The reversal of 408046604040 is 40406640804.

408046604040 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 4 + 6 + 604 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 390267581796 + 17779022244 = 624714^2 + 133338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 408046603986 and 408046604004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566731035 + ... + 566731754.

Almost surely, 2^408046604040 is an apocalyptic number.

408046604040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408046604040 is an abundant number, since it is smaller than the sum of its proper divisors (918104860260).

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

408046604040 is a wasteful number, since it uses less digits than its factorization.

408046604040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133462806 (or 1133462799 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 408046604040 in words is "four hundred eight billion, forty-six million, six hundred four thousand, forty".