443443140140000 has 1440 divisors, whose sum is σ = 1490537855556288. Its totient is φ = 126314496000000.

The previous prime is 443443140139921. The next prime is 443443140140003. The reversal of 443443140140000 is 41041344344.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443443140140003) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22242210032 + ... + 22242229968.

Almost surely, 2^{443443140140000} is an apocalyptic number.

443443140140000 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 443443140140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745268927778144).

443443140140000 is an abundant number, since it is smaller than the sum of its proper divisors (1047094715416288).

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

443443140140000 is a wasteful number, since it uses less digits than its factorization.

443443140140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20110 (or 20076 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 443443140140000 its reverse (41041344344), we get a palindrome (443484181484344).

The spelling of 443443140140000 in words is "four hundred forty-three trillion, four hundred forty-three billion, one hundred forty million, one hundred forty thousand".