404445046506256 has 120 divisors (see below), whose sum is σ = 915110012007576. Its totient is φ = 172657754357760.

The previous prime is 404445046506233. The next prime is 404445046506283. The reversal of 404445046506256 is 652605640544404.

It can be written as a sum of positive squares in 4 ways, for example, as 227808187875856 + 176636858630400 = 15093316^2 + 13290480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404445046506197 and 404445046506206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207571950 + ... + 209511346.

Almost surely, 2^{404445046506256} 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 404445046506256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457555006003788).

404445046506256 is an abundant number, since it is smaller than the sum of its proper divisors (510664965501320).

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

404445046506256 is a wasteful number, since it uses less digits than its factorization.

404445046506256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940457 (or 1940444 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 55.

The spelling of 404445046506256 in words is "four hundred four trillion, four hundred forty-five billion, forty-six million, five hundred six thousand, two hundred fifty-six".