4189716720 has 240 divisors, whose sum is σ = 16129414080. Its totient is φ = 954740736.

The previous prime is 4189716709. The next prime is 4189716737. The reversal of 4189716720 is 276179814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1959492 + ... + 1961628.

It is an arithmetic number, because the mean of its divisors is an integer number (67205892).

Almost surely, 2^4189716720 is an apocalyptic number.

4189716720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4189716720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064707040).

4189716720 is an abundant number, since it is smaller than the sum of its proper divisors (11939697360).

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

4189716720 is a wasteful number, since it uses less digits than its factorization.

4189716720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 4189716720 is about 64728.0211345905. The cubic root of 4189716720 is about 1612.1107969991.

The spelling of 4189716720 in words is "four billion, one hundred eighty-nine million, seven hundred sixteen thousand, seven hundred twenty".