41166381025 has 243 divisors, whose sum is σ = 71643338361. Its totient is φ = 23373504000.

The previous prime is 41166381013. The next prime is 41166381073. The reversal of 41166381025 is 52018366114.

It is a happy number.

The square root of 41166381025 is 202895.

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 962922961 + 40203458064 = 31031^2 + 200508^2 .

It is not a de Polignac number, because 41166381025 - 2⁷ = 41166380897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1327947760 + ... + 1327947790.

Almost surely, 2^41166381025 is an apocalyptic number.

41166381025 is the 202895-th square number.

41166381025 is the 101448-th centered octagonal number.

It is an amenable number.

41166381025 is a deficient number, since it is larger than the sum of its proper divisors (30476957336).

41166381025 is a wasteful number, since it uses less digits than its factorization.

41166381025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 41166381025 in words is "forty-one billion, one hundred sixty-six million, three hundred eighty-one thousand, twenty-five".