  Identifying and characterizing quantum phases of matter in the presence of
long range correlations and/or spatial disorder is, generally, a challenging
and relevant task. Here, we study a generalization of the Kiteav chain with
variable-range pairing and different site-dependence of the chemical potential,
addressing commensurable and incommensurable modulations as well as Anderson
disorder. In particular, we analyze multipartite entanglement (ME) in the
ground state of the dirty topological wires by studying the scaling of the
quantum Fisher information (QFI) with the system's size. For nearest-neighbour
pairing the Heisenberg scaling of the QFI is found in one-to-one correspondence
with topological phases hosting Majorana modes. For finite-range pairing, we
recognize long-range phases by the super-extensive scaling of the QFI and
characterize complex lobe-structured phase diagrams. Overall, we observe that
ME is robust against finite strengths of spatial inhomogeneity. This work
contributes to establish ME as a central quantity to study intriguing aspects
of topological systems.
