41793669225 has 405 divisors, whose sum is σ = 100693048071. Its totient is φ = 17074411200.

The previous prime is 41793669179. The next prime is 41793669283. The reversal of 41793669225 is 52296639714.

The square root of 41793669225 is 204435.

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

41793669225 is a `hidden beast` number, since 4 + 179 + 366 + 92 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15045720921 + 26747948304 = 122661^2 + 163548^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 41793669225 - 2⁷ = 41793669097 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 708367246 + ... + 708367304.

Almost surely, 2^41793669225 is an apocalyptic number.

41793669225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41793669225 is the 204435-th square number.

41793669225 is the 102218-th centered octagonal number.

It is an amenable number.

41793669225 is an abundant number, since it is smaller than the sum of its proper divisors (58899378846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41793669225 is a wasteful number, since it uses less digits than its factorization.

41793669225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 85 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 41793669225 in words is "forty-one billion, seven hundred ninety-three million, six hundred sixty-nine thousand, two hundred twenty-five".