Take the number $6$ and multiply it by each of $1273$ and $9854$:

$$\begin{array}{rl}6\times 1273& =7638\\ 6\times 9854& =59124\end{array}$$

By concatenating these products we get the $1$ to $9$ pandigital $763859124$. We will call $763859124$ the "concatenated product of $6$ and $(1273,9854)$". Notice too, that the concatenation of the input numbers, $612739854$, is also $1$ to $9$ pandigital.

The same can be done for $0$ to $9$ pandigital numbers.

What is the largest $0$ to $9$ pandigital $10$-digit concatenated product of an integer with two or more other integers, such that the concatenation of the input numbers is also a $0$ to $9$ pandigital $10$-digit number?