A hulking 14-year-old boy was busted Monday for raping a woman at gunpoint as she delivered a package on Staten Island, cops and law-enforcement sources said.

The teen — described by law enforcement as a “total stranger” to the 37-year-old victim — was arrested around 10:30 a.m. and charged with rape and a slew of other raps in the heinous Sept. 9 sex attack in Dongan Hills, police said.

The boy, who is about 6 feet tall and 200 pounds, approached the woman as she made the delivery at Dongan Hills Avenue and Jefferson Street around 6 p.m., according to authorities and sources.

The masked teen, seen in an NYPD sketch, is about 6 feet tall and 200 pounds and allegedly hit the woman with a gun and raped her in Dongan Hills, Staten Island, earlier this month. DCPI

He then hit her with a gun and proceeded to rape her, police said.

NYPD officers at the scene where the teen allegedly attacked and sexually assaulted the 37-year-old woman on Sept. 9. Kyle Mazza/SOPA Images/Shutterstock

The victim was taken to a local hospital, where she was listed in stable condition.

But the teen fiend, shown in an NYPD sketch with a mask covering half his face and a hoodie pulled up over his head, had already fled the scene, police said.

The teen, whose identity was not released because of his age, was charged with rape, assault, sexual abuse, criminal possession of a firearm, sexual misconduct, forcible touching, menacing and harassment, police said. Kyle Mazza/SOPA Images/Shutterstock

The boy, whose identity was not released because of his age, was charged with rape as well as assault, sexual abuse, criminal possession of a firearm, sexual misconduct, forcible touching, menacing and harassment, police said.

It is unclear whether the woman was working for a delivery service at the time of the disturbing assault.