4216320000 has 520 divisors, whose sum is σ = 15864984080. Its totient is φ = 1105920000.

The previous prime is 4216319959. The next prime is 4216320047. The reversal of 4216320000 is 236124.

It is a happy number.

4216320000 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69119970 + ... + 69120030.

Almost surely, 2^4216320000 is an apocalyptic number.

4216320000 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 4216320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932492040).

4216320000 is an abundant number, since it is smaller than the sum of its proper divisors (11648664080).

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

4216320000 is an frugal number, since it uses more digits than its factorization.

4216320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4216320000 is about 64933.1964406497. The cubic root of 4216320000 is about 1615.5157193437.

Adding to 4216320000 its reverse (236124), we get a palindrome (4216556124).

The spelling of 4216320000 in words is "four billion, two hundred sixteen million, three hundred twenty thousand".