4201245216 has 288 divisors, whose sum is σ = 14153787648. Its totient is φ = 1157068800.

The previous prime is 4201245199. The next prime is 4201245229. The reversal of 4201245216 is 6125421024.

4201245216 is a `hidden beast` number, since 4 + 201 + 2 + 452 + 1 + 6 = 666.

4201245216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4201245216² = 35300922729925773312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4201245216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11263206 + ... + 11263578.

It is an arithmetic number, because the mean of its divisors is an integer number (49145096).

Almost surely, 2^4201245216 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 4201245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076893824).

4201245216 is an abundant number, since it is smaller than the sum of its proper divisors (9952542432).

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

4201245216 is a wasteful number, since it uses less digits than its factorization.

4201245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4201245216 is about 64817.0133221209. The cubic root of 4201245216 is about 1613.5880800442.

The spelling of 4201245216 in words is "four billion, two hundred one million, two hundred forty-five thousand, two hundred sixteen".