Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See page_maxonapi_getting_started_foundations_cinema_parameters.
Parameter: Viewport Visibility
ID_BASEOBJECT_VISIBILITY_EDITOR
Parameter: Renderer Visibility
ID_BASEOBJECT_VISIBILITY_RENDER
Parameter: Enabled
ID_BASEOBJECT_GENERATOR_FLAG
Parameter: Display Color
ID_BASEOBJECT_USECOLOR
Parameter: Color
ID_BASEOBJECT_COLOR
Parameter: X-Ray
ID_BASEOBJECT_XRAY
Parameter: Position
ID_BASEOBJECT_REL_POSITION
Parameter: Rotation
ID_BASEOBJECT_REL_ROTATION
Parameter: Scale
ID_BASEOBJECT_REL_SCALE
Parameter: Rotation Order
ID_BASEOBJECT_ROTATION_ORDER
Parameter: Quaternion Rotation
ID_BASEOBJECT_QUATERNION_ROTATION_INTERPOLATION
Parameter: Freeze All
ID_BASEOBJECT_FREEZE
Parameter: Unfreeze All
ID_BASEOBJECT_FROZEN_RESET
Parameter: Frozen Position
ID_BASEOBJECT_FROZEN_POSITION
Parameter: Freeze P
ID_BASEOBJECT_FREEZE_P
Parameter: Frozen Rotation
ID_BASEOBJECT_FROZEN_ROTATION
Parameter: Freeze R
ID_BASEOBJECT_FREEZE_R
Parameter: Frozen Scale
ID_BASEOBJECT_FROZEN_SCALE
Parameter: Freeze S
ID_BASEOBJECT_FREEZE_S
Parameter: Deform Position
ID_BASEOBJECT_DEFORM_POSITION
Parameter: Deform Rotation
ID_BASEOBJECT_DEFORM_ROTATION
Parameter: Deform Scale
ID_BASEOBJECT_DEFORM_SCALE
Parameter: Global Position
ID_BASEOBJECT_GLOBAL_POSITION
Parameter: Global Rotation
ID_BASEOBJECT_GLOBAL_ROTATION
Parameter: Transformed Position
ID_BASEOBJECT_ABS_POSITION
Parameter: Transformed Scale
ID_BASEOBJECT_ABS_SCALE
Parameter: Transformed Rotation
ID_BASEOBJECT_ABS_ROTATION