How to download all OpenStreetMap highways in a large area?

I need to download all highways as line features from OpenStreetMap in a large area (about 10.000km²). Therefore I wanted to use overpass-turbo with the following statement in the wizard:

 highway=*

in my chosen bounding box.

Unfortunately it looks like my bounding box is too big, because I get the error:

 runtime error: Query run out of memory using about 2048 MB of RAM.

Do I have to change my overpass turbo query or is it not possible to download large datasets in overpass turbo? Which alternative method could I use to download all highways as line features in a larger region. I need to have all attributes, like the type of the highway, "foot=yes/no/...", "access="yes/no/....", etc. and if I use something like geofabrik, these attributes do not appear.