Independent contractors (Form 1099), sole proprietors (Form 1040 Schedule C), and single-member LLCs who need additional time to file their income tax return (IRS Form 1040) after the regular due date should request a personal tax extension, Form 4868, which will cover both yourself and your business.
If you have a different business type, such as a partnership, S-corporation, or C-corporation, you should file IRS Form 7004 for a business tax extension.