Final answer:
Long-acting insulin has no peak time and can be given at night.
Step-by-step explanation:
The type of insulin that has no peak time and can be given at night is Long-acting insulin. Long-acting insulin, also known as basal insulin, is designed to provide a steady level of insulin throughout the day and night, without a pronounced peak. It is typically taken once a day, usually at bedtime, to maintain a steady level of insulin in the body.