4159218064 has 45 divisors (see below), whose sum is σ = 8436121729. Its totient is φ = 1986353600.

The previous prime is 4159218031. The next prime is 4159218067. The reversal of 4159218064 is 4608129514.

The square root of 4159218064 is 64492.

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

4159218064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3587051664 + 572166400 = 59892^2 + 23920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4159218067) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5932914 + ... + 5933614.

Almost surely, 2^4159218064 is an apocalyptic number.

4159218064 is the 64492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4159218064

4159218064 is an abundant number, since it is smaller than the sum of its proper divisors (4276903665).

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

4159218064 is an frugal number, since it uses more digits than its factorization.

4159218064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The cubic root of 4159218064 is about 1608.1895294862.

The spelling of 4159218064 in words is "four billion, one hundred fifty-nine million, two hundred eighteen thousand, sixty-four".