4432022334144 has 168 divisors, whose sum is σ = 13379887987440. Its totient is φ = 1398781550592.

The previous prime is 4432022334143. The next prime is 4432022334197. The reversal of 4432022334144 is 4414332202344.

4432022334144 is a `hidden beast` number, since 4 + 4 + 3 + 2 + 0 + 2 + 233 + 414 + 4 = 666.

It is a super-3 number, since 3×4432022334144³ (a number of 39 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4432022334099 and 4432022334108.

It is not an unprimeable number, because it can be changed into a prime (4432022334143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19069324 + ... + 19300340.

Almost surely, 2^{4432022334144} 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 4432022334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689943993720).

4432022334144 is an abundant number, since it is smaller than the sum of its proper divisors (8947865653296).

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

4432022334144 is a wasteful number, since it uses less digits than its factorization.

4432022334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232807 (or 232794 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4432022334144 its reverse (4414332202344), we get a palindrome (8846354536488).

The spelling of 4432022334144 in words is "four trillion, four hundred thirty-two billion, twenty-two million, three hundred thirty-four thousand, one hundred forty-four".