Verizon recording cut into my conference call

[arclink]

Verizon recording cut into my conference call and everyone (100 people on the call) heard it. I was listening to the conference with the mute on (*6). My phone rang--which everyone heard--and the Verizon message that goes to the caller came on. Everyone on the conference call stopped talking as verizon said, "The person you are trying to call cannot be reached at this time. Please call later." This went over the conference call twice. Can I prevent this or is it a Verizon glitch?