443144013000 has 256 divisors, whose sum is σ = 1553704588800. Its totient is φ = 104338713600.

The previous prime is 443144012981. The next prime is 443144013007. The reversal of 443144013000 is 310441344.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (443144013007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649986 + ... + 1144014.

It is an arithmetic number, because the mean of its divisors is an integer number (6069158550).

Almost surely, 2^443144013000 is an apocalyptic number.

443144013000 is a gapful number since it is divisible by the number (40) 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 443144013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776852294400).

443144013000 is an abundant number, since it is smaller than the sum of its proper divisors (1110560575800).

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

443144013000 is a wasteful number, since it uses less digits than its factorization.

443144013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494089 (or 494075 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 443144013000 its reverse (310441344), we get a palindrome (443454454344).

The spelling of 443144013000 in words is "four hundred forty-three billion, one hundred forty-four million, thirteen thousand".