4166593344 has 70 divisors (see below), whose sum is σ = 12351103314. Its totient is φ = 1388862720.

The previous prime is 4166593303. The next prime is 4166593363. The reversal of 4166593344 is 4433956614.

4166593344 is a `hidden beast` number, since 4 + 16 + 6 + 593 + 3 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2947186944 + 1219406400 = 54288^2 + 34920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4166593344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 396687 + ... + 407054.

Almost surely, 2^4166593344 is an apocalyptic number.

It is an amenable number.

4166593344 is an abundant number, since it is smaller than the sum of its proper divisors (8184509970).

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

4166593344 is an equidigital number, since it uses as much as digits as its factorization.

4166593344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803765 (or 803746 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 4166593344 is about 64549.1544793578. The cubic root of 4166593344 is about 1609.1395353198.

The spelling of 4166593344 in words is "four billion, one hundred sixty-six million, five hundred ninety-three thousand, three hundred forty-four".