4166033625 has 48 divisors (see below), whose sum is σ = 8087688336. Its totient is φ = 2050963200.

The previous prime is 4166033621. The next prime is 4166033633. The reversal of 4166033625 is 5263306614.

4166033625 is a `hidden beast` number, since 4 + 16 + 603 + 36 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1977758784 + 2188274841 = 44472^2 + 46779^2 .

It is not a de Polignac number, because 4166033625 - 2² = 4166033621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4166033625.

It is not an unprimeable number, because it can be changed into a prime (4166033621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127804 + ... + 157053.

It is an arithmetic number, because the mean of its divisors is an integer number (168493507).

Almost surely, 2^4166033625 is an apocalyptic number.

4166033625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4166033625 is a deficient number, since it is larger than the sum of its proper divisors (3921654711).

4166033625 is a wasteful number, since it uses less digits than its factorization.

4166033625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284891 (or 284878 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4166033625 is about 64544.8187308633. The cubic root of 4166033625 is about 1609.0674775474.

The spelling of 4166033625 in words is "four billion, one hundred sixty-six million, thirty-three thousand, six hundred twenty-five".