In Predynastic Egypt, the El Omari culture arose during this period.
Start of the Naqada culture in Egypt.
In Mesopotamia, the Uruk period began.
The Linear Pottery culture gives way to the Funnelbeaker culture in the north.
Pit–Comb Ware culture.
In the Pontic steppe, the Dnieper–Donets and Sredny Stog cultures flourish, according to the Kurgan hypothesis associated with Proto-Indo-Europeans.
Early Jōmon period begins on the islands of Japan.
5.9 kiloyear event.
c. 4000 BC, More than 100 dwellings surrounding a community center, a cemetery and a kiln are built in Jiangzhai, near modern Xi'an, China.
Susa is a center of pottery production; c. potter's wheel in Mesopotamia.
approximate time of the construction of the Merheleva Ridge complex.
Megalithic monuments are constructed in Brittany (Carnac), Portugal (Lisbon), central and southern France, Corsica and Great Britain.
Metallurgy during the Copper Age in Europe.
Domestication of the horse.
Plough in use.
Clay pots and vats discovered at a sprawling cave system in southern Armenia near the border with Iran shows signs of an organized effort to press and distill grapes.
Bede began his history of the world with 3952 BC.
In their ceremonial or commemorative proceedings, Freemasons add 4000 years to the current Anno Domini calendar year and append Anno Lucis ("Year of Light") to the year (i.e., 2014 AD = 6014 AL). This alternative calendar era, which would designate 4000 BC as "year zero", was created in the 18th century (58th century AL) in difference to the Hebrew calendar's Anno mundi and other ideas regarding the year of creation at the time.
40th century BC Wikipedia
During the 40th century BC, the Near East and southeastern Europe were in the Chalcolithic period (Copper Age), transitional between the Stone and the Bronze Ages. Northwestern Europe was in the Neolithic. China was dominated by the Neolithic Yangshao culture. The Americas were in a phase of transition between the Paleo-Indian (Lithic) to the Meso-Indian (Archaic) stage. This century started in 4000 BC and ended in 3901 BC.