4166119944 has 72 divisors (see below), whose sum is σ = 13125414510. Its totient is φ = 1190318976.

The previous prime is 4166119901. The next prime is 4166119957. The reversal of 4166119944 is 4499116614.

4166119944 is a `hidden beast` number, since 416 + 6 + 1 + 199 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3995504100 + 170615844 = 63210^2 + 13062^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4166119944.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 586909 + ... + 593964.

Almost surely, 2^4166119944 is an apocalyptic number.

It is an amenable number.

4166119944 is an abundant number, since it is smaller than the sum of its proper divisors (8959294566).

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

4166119944 is a wasteful number, since it uses less digits than its factorization.

4166119944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180899 (or 1180885 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4166119944 is about 64545.4874022964. The cubic root of 4166119944 is about 1609.0785906067.

The spelling of 4166119944 in words is "four billion, one hundred sixty-six million, one hundred nineteen thousand, nine hundred forty-four".