443146641344 has 56 divisors (see below), whose sum is σ = 960121755648. Its totient is φ = 201260215040.

The previous prime is 443146641331. The next prime is 443146641349.

It is a happy number.

443146641344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 443146641295 and 443146641304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443146641349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570497 + ... + 1100799.

Almost surely, 2^443146641344 is an apocalyptic number.

443146641344 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 443146641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480060877824).

443146641344 is an abundant number, since it is smaller than the sum of its proper divisors (516975114304).

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

443146641344 is a wasteful number, since it uses less digits than its factorization.

443146641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531513 (or 531503 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 443146641344 in words is "four hundred forty-three billion, one hundred forty-six million, six hundred forty-one thousand, three hundred forty-four".