Dear Gonzalo Jesus Castellanos Pinto,
Thank you for using Microsoft products and posting in the Microsoft Support Community.
I realise you want to see the recent activity on your hotmail account and I'll do my best to help you!
You can simply click on the link below and sign in to your hotmail account and you'll see when your Microsoft account has been logged in for the last 30 days, as well as any device or app-specific information.
https://account.live.com/activity
Alternatively, if you would like more clarification on the recent events, you can refer to the official article below:
Check the recent sign-in activity for your Microsoft account - Microsoft Support
Finally, for the security of your account, after reviewing the Recent Activity page, if there are unusual login records or you are concerned that someone may be trying to access your account, then you can increase the security of your account by turning on Dual Authentication or installing Microsoft Authenticator.
- Change your Microsoft account password
Change your Microsoft account password - Microsoft Support
- Enable double authentication
How to use two-step verification with your Microsoft account - Microsoft Support
Note: Firstly, it is recommended that you add three and more login and verification methods in case one of them fails you can use the other two. Secondly, we recommend that you save the relevant 25-digit recovery code. The reason for this is that when your account is at dangerous risk and you need to authenticate, and your account does not have a valid security message set up to receive the security code, you can use the 25-digit recovery code to authenticate at that moment, so please be aware of that.
- Alternatively, if it's easier for you, try adding a Microsoft Authenticator to your phone, which will simplify the log-in process and avoid password hassles.
About Microsoft Authenticator - Microsoft Support
Thank you for your patience and support.😊
Best Regards
Vivian - MSFT | Microsoft Community Support Specialist