Yes! We use the world-renowned and highly regarded Amazon Web Service (AWS) for our infrastructure.
Amazon is one of the largest providers of hosting software in the entire world; they spend massive resources on security and undergo recurring assessments of risk and security. It's as safe as it gets.
For the more technical types out there, the servers are accredited under ISO 27001.
Feel free to read more about Amazon's security policies here as well: https://aws.amazon.com/security/