noun which may take the genitive case particle 'no'
largest ever; biggest on record; record-high
Used attributively with nouns to indicate the greatest scale, amount, or degree in recorded history. Common in news and formal contexts.
今年の台風は過去最大の勢力で接近している。
This year's typhoon is approaching with the strongest force on record.
会社
The company achieved its largest-ever profit.