4216214304 has 216 divisors, whose sum is σ = 12806080560. Its totient is φ = 1315512576.

The previous prime is 4216214293. The next prime is 4216214339. The reversal of 4216214304 is 4034126124.

It is a happy number.

4216214304 is a `hidden beast` number, since 4 + 2 + 1 + 621 + 4 + 30 + 4 = 666.

4216214304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11124387 + ... + 11124765.

It is an arithmetic number, because the mean of its divisors is an integer number (59287410).

Almost surely, 2^4216214304 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 4216214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403040280).

4216214304 is an abundant number, since it is smaller than the sum of its proper divisors (8589866256).

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

4216214304 is a wasteful number, since it uses less digits than its factorization.

4216214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4216214304 is about 64932.3825529296. The cubic root of 4216214304 is about 1615.5022198167.

The spelling of 4216214304 in words is "four billion, two hundred sixteen million, two hundred fourteen thousand, three hundred four".