443143313241020 has 192 divisors, whose sum is σ = 1162461357711360. Its totient is φ = 138381109862400.

The previous prime is 443143313240959. The next prime is 443143313241053. The reversal of 443143313241020 is 20142313341344.

It is a super-3 number, since 3×443143313241020³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 5516564216 + ... + 5516644544.

It is an arithmetic number, because the mean of its divisors is an integer number (6054486238080).

Almost surely, 2^{443143313241020} 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 443143313241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581230678855680).

443143313241020 is an abundant number, since it is smaller than the sum of its proper divisors (719318044470340).

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

443143313241020 is a wasteful number, since it uses less digits than its factorization.

443143313241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155164 (or 155162 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 443143313241020 its reverse (20142313341344), we get a palindrome (463285626582364).

The spelling of 443143313241020 in words is "four hundred forty-three trillion, one hundred forty-three billion, three hundred thirteen million, two hundred forty-one thousand, twenty".