• janma — births
  Same word Mucukunda used at verse 30. The Bhāgavata reuses the bhakta's vocabulary in the Lord's mouth — Kṛṣṇa answers in exactly the terms asked. Vaiṣṇava theology of janma: the Lord's births are countless, divya, and never product of karma.
• abhidhānāni — names
  From abhi-√dhā — to name, designate. Bhagavān's names are infinite; Gauḍīyas treasure this verse as scriptural ground for nāma-saṅkīrtana. Each name is a doorway; there are thousands; even He cannot enumerate them.
• sahasraśaḥ — by the thousands
  Adverb — 'thousand-fold-ly.' The number-language of Vaiṣṇava theology refuses to commit to a finite count. Bhagavān is sa-hasra in every dimension — births, names, līlās, devotees.
• anantatvāt — because of having no limit
  Ablative of anantatva — endlessness. The reason Kṛṣṇa cannot count Himself: He is ananta. Ananta-deva is His own bed (Śeṣa); ananta is His attribute; both poetic and metaphysical.
• mayā — by Me
  Phrase — 'even by Me, indeed.' The 'even Me' is the chapter's most arresting note: Bhagavān's confession of unbounded Self-extension. Gauḍīyas read this as Kṛṣṇa's own modesty inside His own infinity.

Kṛṣṇa lifts His hands as if to show empty palms — 'My births, names, activities are thousands of thousands; even I cannot count them.' The verse is His humility-disclosed-as-glory: only the Infinite can confess infinity from inside.