4412220222144 has 448 divisors, whose sum is σ = 14025432960000. Its totient is φ = 1222936436736.

The previous prime is 4412220222143. The next prime is 4412220222217.

4412220222144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (4412220222143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421934164 + ... + 421944620.

It is an arithmetic number, because the mean of its divisors is an integer number (31306770000).

Almost surely, 2^{4412220222144} 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 4412220222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012716480000).

4412220222144 is an abundant number, since it is smaller than the sum of its proper divisors (9613212737856).

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

4412220222144 is a wasteful number, since it uses less digits than its factorization.

4412220222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4412220 and 222144, that added together give a palindrome (4634364).

The spelling of 4412220222144 in words is "four trillion, four hundred twelve billion, two hundred twenty million, two hundred twenty-two thousand, one hundred forty-four".