I see the 4000K halophosphors, as brownish white, in a 6500K halophosphors atmosphere. If viewed alone, they looks more pinkish white.
2700K and 3000K halophosphors, looks as a very ugly warm brownish or pinkish white
3000K colour called "Soft white" in the US also for fluorescents, not only LEDs.
2700K triphosphors looks like a warm pinkish yellow white or simply a yellowish white at the home, and it is good at homes. But at supermarkets, it looks like an ugly warm brownish pinksih yellowish colour, which is why I don't prefers <3500K lights at commercial locations.
4000K triphosphors, usually looks similar in shade to a yttrium vanadate coated self ballasted mercury lamps (Such as my Philips ML 160W and Osram HWL 160W).
The typical designations on US lamps are as follows (FYI):
Fluorescent and LED Marketing:
2700K: Soft White (a real soft white would be 2850K though)
3000K: Warm White (especially halophosphor), Halogen White, and rarely soft white
3500K: White (halophosphor), Neutral White, [Original color from 1930s]
4100K/4200K: Cool White
4500K: Industrial White (Obsolete) [early attempt at Cool White]
5000K: Bright White (Generic), Chroma 50 (GE), Colortone 50 (Phillips), Design 50 (Osram Sylvania)
6500K: Daylight [Original from 1930s]
LED (Semiconductor Industry)
2700K-4000K: Warm White
4000K-7000K: Cool White