443142002144320 has 112 divisors (see below), whose sum is σ = 1070271725205888. Its totient is φ = 174731252613120.

The previous prime is 443142002144297. The next prime is 443142002144321. The reversal of 443142002144320 is 23441200241344.

It is a super-2 number, since 2×443142002144320² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (443142002144321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135683152 + ... + 138910768.

Almost surely, 2^{443142002144320} is an apocalyptic number.

443142002144320 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 443142002144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535135862602944).

443142002144320 is an abundant number, since it is smaller than the sum of its proper divisors (627129723061568).

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

443142002144320 is a wasteful number, since it uses less digits than its factorization.

443142002144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233748 (or 3233738 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 443142002144320 its reverse (23441200241344), we get a palindrome (466583202385664).

The spelling of 443142002144320 in words is "four hundred forty-three trillion, one hundred forty-two billion, two million, one hundred forty-four thousand, three hundred twenty".