4213600000 has 216 divisors, whose sum is σ = 11017732320. Its totient is φ = 1605120000.

The previous prime is 4213599919. The next prime is 4213600007. The reversal of 4213600000 is 63124.

4213600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213600007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18399886 + ... + 18400114.

It is an arithmetic number, because the mean of its divisors is an integer number (51008020).

Almost surely, 2^4213600000 is an apocalyptic number.

4213600000 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 4213600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508866160).

4213600000 is an abundant number, since it is smaller than the sum of its proper divisors (6804132320).

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

4213600000 is an frugal number, since it uses more digits than its factorization.

4213600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4213600000 is about 64912.2484589773. The cubic root of 4213600000 is about 1615.1682482462.

Adding to 4213600000 its reverse (63124), we get a palindrome (4213663124).

The spelling of 4213600000 in words is "four billion, two hundred thirteen million, six hundred thousand".