4159734016 has 81 divisors (see below), whose sum is σ = 8661721341. Its totient is φ = 1993700352.

The previous prime is 4159733999. The next prime is 4159734017. The reversal of 4159734016 is 6104379514.

The square root of 4159734016 is 64496.

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

It can be written as a sum of positive squares in only one way, i.e., 2181263616 + 1978470400 = 46704^2 + 44480^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4159734016.

It is not an unprimeable number, because it can be changed into a prime (4159734017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29926075 + ... + 29926213.

Almost surely, 2^4159734016 is an apocalyptic number.

4159734016 is the 64496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4159734016

4159734016 is an abundant number, since it is smaller than the sum of its proper divisors (4501987325).

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

4159734016 is an frugal number, since it uses more digits than its factorization.

4159734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The cubic root of 4159734016 is about 1608.2560255025.

The spelling of 4159734016 in words is "four billion, one hundred fifty-nine million, seven hundred thirty-four thousand, sixteen".