4189713984 has 315 divisors, whose sum is σ = 13290964401. Its totient is φ = 1304916480.

The previous prime is 4189713977. The next prime is 4189713989. The reversal of 4189713984 is 4893179814.

The square root of 4189713984 is 64728.

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

4189713984 is a `hidden beast` number, since 4 + 189 + 71 + 398 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2196984384 + 1992729600 = 46872^2 + 44640^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1741824) is a multiple of the sum of its prime factors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4189713984.

It is not an unprimeable number, because it can be changed into a prime (4189713989) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 135152049 + ... + 135152079.

Almost surely, 2^4189713984 is an apocalyptic number.

4189713984 is the 64728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4189713984

4189713984 is an abundant number, since it is smaller than the sum of its proper divisors (9101250417).

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

4189713984 is an equidigital number, since it uses as much as digits as its factorization.

4189713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 65 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The cubic root of 4189713984 is about 1612.1104460815.

The spelling of 4189713984 in words is "four billion, one hundred eighty-nine million, seven hundred thirteen thousand, nine hundred eighty-four".