4412601216 has 192 divisors, whose sum is σ = 12999467520. Its totient is φ = 1436368896.

The previous prime is 4412601203. The next prime is 4412601217. The reversal of 4412601216 is 6121062144.

4412601216 is a `hidden beast` number, since 4 + 41 + 2 + 601 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 4412601216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412601217) 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, 11520961 + ... + 11521343.

It is an arithmetic number, because the mean of its divisors is an integer number (67705560).

Almost surely, 2^4412601216 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 4412601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499733760).

4412601216 is an abundant number, since it is smaller than the sum of its proper divisors (8586866304).

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

4412601216 is a wasteful number, since it uses less digits than its factorization.

4412601216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4412601216 is about 66427.4131364454. The cubic root of 4412601216 is about 1640.2053599670.

The spelling of 4412601216 in words is "four billion, four hundred twelve million, six hundred one thousand, two hundred sixteen".