4196217312 has 252 divisors, whose sum is σ = 14412464136. Its totient is φ = 1198592640.

The previous prime is 4196217271. The next prime is 4196217341. The reversal of 4196217312 is 2137126914.

4196217312 is a `hidden beast` number, since 4 + 19 + 621 + 7 + 3 + 12 = 666.

4196217312 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 (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1141237 + ... + 1144907.

It is an arithmetic number, because the mean of its divisors is an integer number (57192318).

Almost surely, 2^4196217312 is an apocalyptic number.

4196217312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4196217312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7206232068).

4196217312 is an abundant number, since it is smaller than the sum of its proper divisors (10216246824).

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

4196217312 is an equidigital number, since it uses as much as digits as its factorization.

4196217312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3683 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 4196217312 is about 64778.2163385192. The cubic root of 4196217312 is about 1612.9441277447.

The spelling of 4196217312 in words is "four billion, one hundred ninety-six million, two hundred seventeen thousand, three hundred twelve".