443542424245344 has 768 divisors, whose sum is σ = 1414418161766400. Its totient is φ = 134738795520000.

The previous prime is 443542424245313. The next prime is 443542424245369.

It is a happy number.

443542424245344 is a `hidden beast` number, since 4 + 4 + 3 + 5 + 42 + 42 + 4 + 24 + 534 + 4 = 666.

443542424245344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46439365369 + ... + 46439374919.

It is an arithmetic number, because the mean of its divisors is an integer number (1841690314800).

Almost surely, 2^{443542424245344} 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 443542424245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707209080883200).

443542424245344 is an abundant number, since it is smaller than the sum of its proper divisors (970875737521056).

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

443542424245344 is a wasteful number, since it uses less digits than its factorization.

443542424245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10470 counting only the distinct ones).

The product of its digits is 117964800, while the sum is 54.

The spelling of 443542424245344 in words is "four hundred forty-three trillion, five hundred forty-two billion, four hundred twenty-four million, two hundred forty-five thousand, three hundred forty-four".