EVEREN UNIT INVESTMENT TRUSTS SERIES 40
497J, 1995-12-06
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                         EVEREN Unit Investment Trusts
                              77 West Wacker Drive
                            Chicago, Illinois  60601

                                December 6, 1995


Securities and Exchange Commission
450 Fifth Street, N. W.
Washington D.C. 20549-1004

Attn:  Filing Desk, Stop 1-4


       Re:  EVEREN Unit Investment Trusts Series 40
              File No. 33-64619  (CIK No. 910907)
              -----------------------------------

Gentlemen:

     In accordance with the provisions of Rule 497(j) of Regulation C under the
Securities Act of 1933 (the "Securities Act") this letter serves to certify that
the most recent amendment to the registration statement on Form S-6 for the
above captioned Trust does not differ from that which would have been filed
pursuant to Rule 497(b) of the Securities Act.  Amendment No. 1, which was the
most recent Amendment to the Registration Statement, filed electronically with
the Commission on December 5, 1995.

                                     Very truly yours,



                                     EVEREN Unit Investment Trusts


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