4213304000 has 112 divisors (see below), whose sum is σ = 10476744096. Its totient is φ = 1678464000.

The previous prime is 4213303973. The next prime is 4213304009. The reversal of 4213304000 is 4033124.

4213304000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4213304000.

It is not an unprimeable number, because it can be changed into a prime (4213304009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263070 + ... + 2264930.

It is an arithmetic number, because the mean of its divisors is an integer number (93542358).

Almost surely, 2^4213304000 is an apocalyptic number.

4213304000 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 4213304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238372048).

4213304000 is an abundant number, since it is smaller than the sum of its proper divisors (6263440096).

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

4213304000 is a wasteful number, since it uses less digits than its factorization.

4213304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4213304000 is about 64909.9684178016. The cubic root of 4213304000 is about 1615.1304261940.

Adding to 4213304000 its reverse (4033124), we get a palindrome (4217337124).

The spelling of 4213304000 in words is "four billion, two hundred thirteen million, three hundred four thousand".