4218000032 has 48 divisors (see below), whose sum is σ = 8575570080. Its totient is φ = 2040982272.

The previous prime is 4218000029. The next prime is 4218000041. The reversal of 4218000032 is 2300008124.

4218000032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4217999968 and 4218000013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135923 + ... + 164045.

It is an arithmetic number, because the mean of its divisors is an integer number (178657710).

Almost surely, 2^4218000032 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 4218000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287785040).

4218000032 is an abundant number, since it is smaller than the sum of its proper divisors (4357570048).

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

4218000032 is a wasteful number, since it uses less digits than its factorization.

4218000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28285 (or 28277 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4218000032 is about 64946.1317708761. The cubic root of 4218000032 is about 1615.7302632822.

Adding to 4218000032 its reverse (2300008124), we get a palindrome (6518008156).

The spelling of 4218000032 in words is "four billion, two hundred eighteen million, thirty-two", and thus it is an aban number.