41948355330025 has 27 divisors (see below), whose sum is σ = 52180272612741. Its totient is φ = 33453009529440.

The previous prime is 41948355329999. The next prime is 41948355330043. The reversal of 41948355330025 is 52003355384914.

The square root of 41948355330025 is 6476755.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 363294302121 + 41585061027904 = 602739^2 + 6448648^2 .

It is a de Polignac number, because none of the positive numbers 2^k-41948355330025 is a prime.

It is a super-3 number, since 3×41948355330025³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11237168059 + ... + 11237171791.

Almost surely, 2^{41948355330025} is an apocalyptic number.

41948355330025 is the 6476755-th square number.

41948355330025 is the 3238378-th centered octagonal number.

It is an amenable number.

41948355330025 is a deficient number, since it is larger than the sum of its proper divisors (10231917282716).

41948355330025 is an frugal number, since it uses more digits than its factorization.

41948355330025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8170 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 52.

The spelling of 41948355330025 in words is "forty-one trillion, nine hundred forty-eight billion, three hundred fifty-five million, three hundred thirty thousand, twenty-five".