The staggering charges on the phone were worth more than 250 pounds-a-day for a period of six months.
Officers gave the burglar the phone so they could keep tabs on him while he was on bail. But the burglar handed it to two friends when he was jailed - and they racked up a huge 44,500 pound bill in just six months, The Telegraph reported.
The burglar's two friends were arrested on suspicion of theft - but no charges were brought against them when it emerged the he wasn't asked to sign any forms when he was given the phone.
A spokesman for the force said: "This phone was provided under the Integrated Offender Management process in order to allow frequent support/communication of an offender in their rehabilitation into the community".
"It was used for a number of months and the bills were paid monthly as part of the overall force-wide invoice. In the case of this particular phone a contract SIM was mistakenly supplied as opposed to a credit limited PAYG (pay as you go) SIM card," he said.
When the irregularity came to light in early 2014 the Deputy Chief Constable requested an immediate investigation into how this had occurred, and the matter was passed to Crime Services for further investigation.
"Two people were arrested and interviewed in relation to the usage and they provided accounts with regards to their use of the mobile telephone, which included how it came into their possession.In this case the evidential threshold was not met and nobody could be criminally charged," the spokesperson said.
The force said that following the blunder it had carried out a review into the policy of giving phones to criminals.
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