409469478912 has 1008 divisors, whose sum is σ = 1423548273420. Its totient is φ = 116955021312.

The previous prime is 409469478907. The next prime is 409469478923. The reversal of 409469478912 is 219874964904.

409469478912 is a `hidden beast` number, since 4 + 0 + 94 + 69 + 478 + 9 + 12 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 258975138816 + 150494340096 = 508896^2 + 387936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 409469478912.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5609170908 + ... + 5609170980.

Almost surely, 2^409469478912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409469478912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711774136710).

409469478912 is an abundant number, since it is smaller than the sum of its proper divisors (1014078794508).

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

409469478912 is an equidigital number, since it uses as much as digits as its factorization.

409469478912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 409469478912 in words is "four hundred nine billion, four hundred sixty-nine million, four hundred seventy-eight thousand, nine hundred twelve".