4102083216 has 480 divisors, whose sum is σ = 15199027200. Its totient is φ = 1047271680.

The previous prime is 4102083191. The next prime is 4102083217. The reversal of 4102083216 is 6123802014.

4102083216 is a `hidden beast` number, since 410 + 208 + 32 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4102083216.

It is not an unprimeable number, because it can be changed into a prime (4102083217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18394881 + ... + 18395103.

It is an arithmetic number, because the mean of its divisors is an integer number (31664640).

Almost surely, 2^4102083216 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 4102083216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599513600).

4102083216 is an abundant number, since it is smaller than the sum of its proper divisors (11096943984).

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

4102083216 is a wasteful number, since it uses less digits than its factorization.

4102083216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

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

The square root of 4102083216 is about 64047.5074924856. The cubic root of 4102083216 is about 1600.7916936153.

The spelling of 4102083216 in words is "four billion, one hundred two million, eighty-three thousand, two hundred sixteen".