443406604344 has 128 divisors (see below), whose sum is σ = 1280833171200. Its totient is φ = 126421514240.

The previous prime is 443406604339. The next prime is 443406604351.

443406604344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443406604296 and 443406604305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15869074 + ... + 15896990.

It is an arithmetic number, because the mean of its divisors is an integer number (10006509150).

Almost surely, 2^443406604344 is an apocalyptic number.

443406604344 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 443406604344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640416585600).

443406604344 is an abundant number, since it is smaller than the sum of its proper divisors (837426566856).

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

443406604344 is a wasteful number, since it uses less digits than its factorization.

443406604344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31493 (or 31489 counting only the distinct ones).

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

The spelling of 443406604344 in words is "four hundred forty-three billion, four hundred six million, six hundred four thousand, three hundred forty-four".