4166982144 has 400 divisors, whose sum is σ = 13725059040. Its totient is φ = 1250795520.

The previous prime is 4166982139. The next prime is 4166982161. The reversal of 4166982144 is 4412896614.

4166982144 is a `hidden beast` number, since 416 + 6 + 98 + 2 + 144 = 666.

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 4166982144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31808959 + ... + 31809089.

Almost surely, 2^4166982144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4166982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862529520).

4166982144 is an abundant number, since it is smaller than the sum of its proper divisors (9558076896).

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

4166982144 is a wasteful number, since it uses less digits than its factorization.

4166982144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4166982144 is about 64552.1660674528. The cubic root of 4166982144 is about 1609.1895853200.

It can be divided in two parts, 4166 and 982144, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 4166982144 in words is "four billion, one hundred sixty-six million, nine hundred eighty-two thousand, one hundred forty-four".