443342101243344 has 320 divisors, whose sum is σ = 1210558770708480. Its totient is φ = 139604903700480.

The previous prime is 443342101243267. The next prime is 443342101243361.

443342101243344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443342101243296 and 443342101243305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73437482694 + ... + 73437488730.

It is an arithmetic number, because the mean of its divisors is an integer number (3782996158464).

Almost surely, 2^{443342101243344} 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 443342101243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605279385354240).

443342101243344 is an abundant number, since it is smaller than the sum of its proper divisors (767216669465136).

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

443342101243344 is a wasteful number, since it uses less digits than its factorization.

443342101243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8698 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 44334210 and 1243344, that added together give a palindrome (45577554).

The spelling of 443342101243344 in words is "four hundred forty-three trillion, three hundred forty-two billion, one hundred one million, two hundred forty-three thousand, three hundred forty-four".