Test 1. Powered up phone, installed AnTuTu 5.7.1 and ran the Test. Test crashed upon trying to report results on the screen. Restarted phone and let it sit for a few minutes so that apps and services had a chance to settle down, and reach a steady state. Test score was 29445 (see Test 2 below).
Test 2. Opened AnTuTu and it showed 29445 as the first result's score (Test 1). Ran again with Test result as 31634.
Test 3. Restarted and let phone settle for a few minutes after OS was fully booted and all apps completed updating status on the Notification bar/screen (same as the 2nd test). Score was 39220.
Test 4. Restarted and repeated process as noted in Test 3. Again phone was being charged. Ran Test. 37584 was the score.
All of the above is on a Verizon Note 4 SM-910V with Android/TouchWiz 5.0.1. For Tests 1-2 the phone was not being charged. For Tests 3-4 the phone was being charged. Phone was warm during all Tests as the workloads run do crank up CPU, Memory, Graphics, and Storage subsystems - and thus generate heat. Phone was warmer during the Tests when it was connected to the charger.
I tried to be fairly consistent in the methodology used, and provide two tests with battery power only, and two with battery power + charger power (in case there is any power throttling/energy saving algorithms at play).
Update: I do have an older SanDisk Mobile Ultra Micro SD XC I 64GB (Class 6) card for the external SD card. I've had this card I think since the S3 days, so closing in on ~ four years. If AnTuTu is writing to/reading from the external SD card for the Test, then that may account for the lower scores I'm seeing compared to the reference Note 4's score at 48,000 plus - if the reference Note 4 used a faster class SD card as the external SD card.