How much, with what budget and for what use? Something as simple as a seedbox could suffice in some cases, otherwise maybe look at Hetzner's storage options.
No matter what you choose, encrypt the data you store to avoid drama.
You could take a look at wasabi. Keep in mind that I think they have minimum commit. So if you add 1tb of data, you are charged for storing it a minimum of a few months.
Backblaze b2 and cloudflare r2 are also options.
Google drive is also a decent storage platform at a reasonable price. 9.99/mo for 2tb. You can check the rclone matrix for features and alternatives.
OneDrive family. It gives you 1 TB per account. You can add up to 5 members and they don't give a fuck about pirated content. I've been using them for the last 2 years without any encryption and I've had no problems.
If it's a static amount of data you could look into glacier. I'm not sure what the exact retrieval costs would be but maybe they're lower than renting 4TB of space elsewhere.