41830475625 has 135 divisors (see below), whose sum is σ = 79187013763. Its totient is φ = 22088700000.

The previous prime is 41830475591. The next prime is 41830475627. The reversal of 41830475625 is 52657403814.

The square root of 41830475625 is 204525.

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

41830475625 is a `hidden beast` number, since 4 + 1 + 83 + 0 + 4 + 7 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 9027470169 + 32803005456 = 95013^2 + 181116^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 41830475625 - 2⁷ = 41830475497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41830475627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 414163075 + ... + 414163175.

Almost surely, 2^41830475625 is an apocalyptic number.

41830475625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41830475625 is the 204525-th square number.

41830475625 is the 102263-rd centered octagonal number.

It is an amenable number.

41830475625 is a deficient number, since it is larger than the sum of its proper divisors (37356538138).

41830475625 is an frugal number, since it uses more digits than its factorization.

41830475625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 41830475625 in words is "forty-one billion, eight hundred thirty million, four hundred seventy-five thousand, six hundred twenty-five".