A draw seemed to be on the cards before Hummels found the victor with a header following a late set piece, and Germany maintained their 100 percent record through seven games.
Josh Magennis eased Northern Ireland's nerves, then made the lead comfortable with his second of the night five minutes later, and Steven Davis added a penalty three minutes after that to put the result beyond doubt.
Germany is now leading Group C with 18 points and has been one of the best teams in these qualifiers with a monumental goal differential of 26.
Kane marked the arrival of September by converting England's opener on 53 minutes after clever play from Dele Alli.
The score remained 1-0 at the halftime break. Ryan Bertrand netted his first worldwide goal four minutes from time and Danny Welbeck nipping in ahead of Hogg to add a third in stoppage time.
Steely Dan co-founder, guitarist, Walter Becker dies at 67
Fagen and Becker split the band after 1980's Gaucho LP, reforming 20 years later to make the Grammy-winning Two Against Nature . Guitarist Larry Carlton, who played on four of Steely Dan's classic albums, called him a musical icon.
Scotland stayed in contention with a 3-0 win away to Lithuania. The equaliser was worth the wait as Darida hit the top right-hand corner from 25 yards out, rifling an unstoppable effort past Ter Stegen.
Despite a valiant display, Czech Republic are a further seven points behind in third and nearly out of the running for a second-place finish and a possible playoff place.
In Group E, Denmark were in a ruthless mood as they thumped Poland 4-0 at the Telia Parken.
Germany took the lead in just the fourth minute, scoring their fastest goal since May 2013. The Czechs were clearly the best team in the second half. They're four points adrift of second place, having only won two of their first six qualifying matches.