have you checked the battery on the motherboard? if so, then have you also checked on the reverse side of the motherboard under the battery, there should be small ic's (or diodes) check to make sure that none are corroded due to battery leakage, and make sure that all ram chips are properly seated and secure (a4000 has bad history with broken memory clips). GOOD LUCK!!!
P.S.
if you have never changed your battery, do your self a favor, and get it out, you dont need it to run the A4000. My A4000 (when I had one) had a battery that looked fine from the top but under the motherboard trashed an ic, I had to replace the motherboard, as soon as I got the new mobo, (wich looked brand spanken new!) I had brought the motherboard to a tv repaire shop for a clean removal, and said screw the battery, I dont need it.
once again, GOOD LUCK!
Warpiper