Still a lot of these older HP Elitebook 8440P laptops getting around, and with Windows 7 running on them they are still very usable. Originally they had Vista and later 7 installed. The best performance with no memory upgrades is using Windows 7. Drivers are below.
NVIDIA Graphics Driver
File: sp50852.exe
0811d7ac8a8d3bf9035ead3c30f90c0056e459d67403ff292c2b8d1c28a52f07
Intel HD Graphics Driver with Turbo Boost Technology
File: sp64360.exe
414c98c3d03d02f6aaff00060df508834574d23cffde4c3e2eaf94c3a6ae78dc
IDT HD Audio Driver
File: sp46721.exe
c6099744999d2ee607c586a7f2577ae11ed00217c50c3aa585c4ab3bd7882266
HP Universal Camera Driver
File: sp60799.exe
4aeeb39d0247a9f88fbb2497dbf924fb91fa02b92ec502248bab978e3adbaa17
Synaptics TouchPad Drivers
File: sp47249.exe
7627f78df9fbd333ab79eeb58529281c63778dd381fa85a8d3dd94f9fe2e2f3b
Broadcom Wireless LAN Driver
File: sp49541.exe
a7bd87f35d724dbcb78a965120d449e8858aecbaaaab7a0586e78c86285c3915
Intel 82577LM and 82577LC Gigabit Ethernet Driver
File: sp53806.exe
c13173fbba6f5924a2c97328122bd53fff5b5278bf8754937fec8f27ddbf95d5
Intel PRO/Wireless Drivers
File: sp51096.exe
7cd71a7f87a35941668dc7c71a5c0b1fbda14a17722e8f44b50fa1093595f532
Ricoh Media Card Reader Driver
File: sp46972.exe
1c801ad57033210829b8d95b8627c84020666c0953b458b31c33a3434f775bea