For $n\geq 4$, $1!+2!+3!+4!+.....n!$ is always

Question

$\begin{array}{1 1} Even \;number \\ Square\; of\; a\; positive number \\ Not\; a\; square\; of\; any\; positive\; integer \\ Odd\; and\; square\; of\; a\; positive\; integer \end{array}$