4022216352 has 360 divisors, whose sum is σ = 15016700160. Its totient is φ = 1044368640.

The previous prime is 4022216351. The next prime is 4022216377. The reversal of 4022216352 is 2536122204.

It is a happy number.

4022216352 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 21 + 635 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4022216351) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1395649 + ... + 1398527.

It is an arithmetic number, because the mean of its divisors is an integer number (41713056).

Almost surely, 2^4022216352 is an apocalyptic number.

4022216352 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 4022216352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508350080).

4022216352 is an abundant number, since it is smaller than the sum of its proper divisors (10994483808).

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

4022216352 is a wasteful number, since it uses less digits than its factorization.

4022216352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4022216352 is about 63420.9456883134. The cubic root of 4022216352 is about 1590.3344828528.

Adding to 4022216352 its reverse (2536122204), we get a palindrome (6558338556).

The spelling of 4022216352 in words is "four billion, twenty-two million, two hundred sixteen thousand, three hundred fifty-two".