443322121223344 has 120 divisors (see below), whose sum is σ = 970716590786880. Its totient is φ = 195869722752000.

The previous prime is 443322121223327. The next prime is 443322121223363.

443322121223344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443322121223297 and 443322121223306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11206302 + ... + 31815490.

It is an arithmetic number, because the mean of its divisors is an integer number (8089304923224).

Almost surely, 2^{443322121223344} is an apocalyptic number.

443322121223344 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 443322121223344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485358295393440).

443322121223344 is an abundant number, since it is smaller than the sum of its proper divisors (527394469563536).

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

443322121223344 is a wasteful number, since it uses less digits than its factorization.

443322121223344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20609531 (or 20609514 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

The spelling of 443322121223344 in words is "four hundred forty-three trillion, three hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-three thousand, three hundred forty-four".