You want BPWin 4.80.0 (November 11, 2008) or BPDOS v3.94a (January 6, 2006) for a BP-1400 as the last versions of the software to support the LPT interface BP-1400.
In the past the BPM Microsystems software download page had a legacy software section where the final software versions for no longer supported programmers could be downloaded. Older software versions could also be found on their FTP site. Unfortunately the older software versions do not appear to be publicly available on their sites now. Maybe if you sent them an email requesting an old version of the software they would eventually make it available to you. Fortunately there are people who have saved old versions of the software they could make available to you.
I'm not aware of any way to obtain a supported device list for a particular programmer model and a particular software version other than running the software and trying to select a device of interest in the software. If a device programmer is not attached when the software is started, it will run in demo mode where you can try selecting a device of interest.
Version Release Date Final software version for the following programmers
BPWin 5.33.0 July 16, 2013 1600, 2600, 3600, 4600, 1700, 2700, 3700, 4700, Silicon Sculptor II, Helix
BPWin 4.80.0 November 11, 2008 1400, 2200
BPWin 4.73.0 January 8, 2008 1148, 1200, 1600M 2000, 2100, 2500, 2510, 2600M, 3500, 3600M, 4500, 4510, 4600M
BPDOS v3.94a January 6, 2006 1148, 1200, 1400, 1600, 2000, 2100, 2200, 2500, 2510, 2600, 2600M
Last version of the 32-bit BPDOS software. Windows 9x/2000/XT required.
BPWSoft-03 October 1, 2003 PLD-1100, PLD-1128, EP-1132, EP-1140, CP-1128 (Windows software)
BPSoft-03 October 1, 2003 PLD-1100, PLD-1128, EP-1132, EP-1140, CP-1128 (DOS software)
BPDOS v3.71 February, 19, 2003 1148, 1200, 1400, 1600, 2000, 2100, 2200, 2500, 2510, 2600, 2600M
Last version of the 16-bit BPDOS software. Windows 9x/2000/XP not required.
EP-1 July 11, 2001 EP-1
(https://www.eevblog.com/forum/testgear/bp-microsystems-bp-1400-device-programmer-help-help-thanks-in-advance/?action=dlattach;attach=1422175)