443421124344 has 192 divisors, whose sum is σ = 1352295360000. Its totient is φ = 130079727360.

The previous prime is 443421124339. The next prime is 443421124403.

443421124344 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 211 + 2 + 434 + 4 = 666.

443421124344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 443421124299 and 443421124308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5793477 + ... + 5869515.

It is an arithmetic number, because the mean of its divisors is an integer number (7043205000).

Almost surely, 2^443421124344 is an apocalyptic number.

443421124344 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 443421124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676147680000).

443421124344 is an abundant number, since it is smaller than the sum of its proper divisors (908874235656).

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

443421124344 is a wasteful number, since it uses less digits than its factorization.

443421124344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76298 (or 76291 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 443421 and 124344, that added together give a palindrome (567765).

The spelling of 443421124344 in words is "four hundred forty-three billion, four hundred twenty-one million, one hundred twenty-four thousand, three hundred forty-four".