443412340144 has 80 divisors (see below), whose sum is σ = 917460314496. Its totient is φ = 206875468800.

The previous prime is 443412340121. The next prime is 443412340171. The reversal of 443412340144 is 441043214344.

It is a super-2 number, since 2×443412340144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41719759 + ... + 41730385.

Almost surely, 2^443412340144 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 443412340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458730157248).

443412340144 is an abundant number, since it is smaller than the sum of its proper divisors (474047974352).

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

443412340144 is a wasteful number, since it uses less digits than its factorization.

443412340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11954 (or 11948 counting only the distinct ones).

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

Adding to 443412340144 its reverse (441043214344), we get a palindrome (884455554488).

The spelling of 443412340144 in words is "four hundred forty-three billion, four hundred twelve million, three hundred forty thousand, one hundred forty-four".