What is the maximum value of Easting in UTM coordinates? What is the maximum value of Easting in UTM coordinates?

In many websites I found the answer of maximum value is about 834000 meters, but if you convert some of these coordinates below the value will be much higher than that.

Latitude: 61.44 Longitude: 25.40 --> Converted in UTM: Sector: 35 V  Northing: 414668 Easting: 6812844

Latitude: -47.04 Longitude: -73.48 --> Converted: Sector: 18 G Northing: 615471 Easting: 4789269
You are correct about the maximum value, you just have the easting and northing backwards.

In your first example, the easting is 414668 m and the northing is 6812844 m. The convention is eastings first. You can think of UTM coordinates as $(x, y)$ pairs, and they are sometimes labelled as such. Here's the conversion offered by one converter:



As you say, eastings are usually less than 834 000 m, and more than 160 000 m. 

Note than some UTM zones are non-standard widths. Also, you will sometimes see coordinates referenced to some neighbouring zone, which isn't a good idea but is sometimes convenient, so the numbers can be unexpectedly large. Lastly: be aware that in the US you may sometimes come across UTM coordinates in other units, such as feet. Horrible.