Nelson Peltz's Trian Partners has amassed a significant stake in Terminix parent Rentokil and is seeking to engage with leadership on "ideas and initiatives to improve shareholder value," a spokesperson told CNBC Tuesday. That would mean that its stake is valued at more than $400 million, or at least 3% of shares outstanding. A spokesperson for Rentokil, which is headquartered in London, did not immediately respond to CNBC's request for comment. The news of his stake in Rentokil, reported earlier by Bloomberg, comes shortly after Trian disposed of its remaining stake in Disney. Peltz earlier this year ran an unsuccessful campaign for board seats at the entertainment giant.

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