4432022202344 has 144 divisors (see below), whose sum is σ = 9280278253260. Its totient is φ = 1982644224000.

The previous prime is 4432022202323. The next prime is 4432022202373.

4432022202344 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 1944178458244 + 2487843744100 = 1394338^2 + 1577290^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4432022202344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3641759624 + ... + 3641760840.

Almost surely, 2^{4432022202344} is an apocalyptic number.

4432022202344 is a gapful number since it is divisible by the number (44) 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 4432022202344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640139126630).

4432022202344 is an abundant number, since it is smaller than the sum of its proper divisors (4848256050916).

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

4432022202344 is a wasteful number, since it uses less digits than its factorization.

4432022202344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

The spelling of 4432022202344 in words is "four trillion, four hundred thirty-two billion, twenty-two million, two hundred two thousand, three hundred forty-four".