Praise be to Allaah.
The hadeeth mentioned was narrated by
al-Haakim and was quoted by al-Haafiz and al-Mundhiri in al-Targheeb wa’l-Tarheeb. He said, It was narrated only by ‘Aamir ibn Khadaash
al-Nisapuri. He said: our shaykh, al-Haafiz Abu’l-Hasan said: he was a narrator of munkar (rejected) reports. He was the only one who narrated it
from ‘Umar ibn Haroon al-Balkhi, who is matrook and mutahham (i.e., his ahaadeeth are rejected), and only Ibn Mahdi praised him.
Hence it is known that this hadeeth is da’eef
(weak) from the point of view of its isnaad (chain of narrators).
Moreover, the saheeh ahaadeeth indicate that
it is not allowed to recite Qur’aan when prostrating, so the hadeeth is also weak from the point of view of its text. It is not permissible to act
upon it because it is not saheeh (sound) and because it contradicts the saheeh ahaadeeth.
And Allaah is the Source of strength.