4422216960 has 864 divisors, whose sum is σ = 18978785280. Its totient is φ = 928972800.

The previous prime is 4422216937. The next prime is 4422216961. The reversal of 4422216960 is 696122244.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422216961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72495330 + ... + 72495390.

Almost surely, 2^4422216960 is an apocalyptic number.

4422216960 is a gapful number since it is divisible by the number (40) 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 4422216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9489392640).

4422216960 is an abundant number, since it is smaller than the sum of its proper divisors (14556568320).

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

4422216960 is a wasteful number, since it uses less digits than its factorization.

4422216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4422216960 is about 66499.7515784834. The cubic root of 4422216960 is about 1641.3959164006.

The spelling of 4422216960 in words is "four billion, four hundred twenty-two million, two hundred sixteen thousand, nine hundred sixty".