This phase II trial studies the side effects and how well abiraterone acetate, niclosamide, and prednisone work in treating patients with hormone-resistant prostate cancer. Androgens can cause the growth of prostate cells. Hormone therapy using abiraterone acetate may fight prostate cancer by lowering the amount of androgen the body makes. Niclosamide is a drug that may block another signal that can cause prostate cancer cell growth. Prednisone is a drug that can help lessen inflammation. Giving abiraterone acetate, niclosamide, and prednisone may be a better treatment for patients with hormone-resistant prostate cancer.