4110201216 has 192 divisors, whose sum is σ = 13320253440. Its totient is φ = 1205222400.

The previous prime is 4110201209. The next prime is 4110201217. The reversal of 4110201216 is 6121020114.

4110201216 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4110201217) 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, 387601 + ... + 398063.

It is an arithmetic number, because the mean of its divisors is an integer number (69376320).

Almost surely, 2^4110201216 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 4110201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660126720).

4110201216 is an abundant number, since it is smaller than the sum of its proper divisors (9210052224).

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

4110201216 is a wasteful number, since it uses less digits than its factorization.

4110201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10525 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 4110201216 is about 64110.8510004352. The cubic root of 4110201216 is about 1601.8469837531.

The spelling of 4110201216 in words is "four billion, one hundred ten million, two hundred one thousand, two hundred sixteen".