444168066432 has 256 divisors, whose sum is σ = 1235021042880. Its totient is φ = 141296762880.

The previous prime is 444168066427. The next prime is 444168066439. The reversal of 444168066432 is 234660861444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444168066439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586747398 + ... + 586748154.

Almost surely, 2^444168066432 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 444168066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617510521440).

444168066432 is an abundant number, since it is smaller than the sum of its proper divisors (790852976448).

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

444168066432 is a wasteful number, since it uses less digits than its factorization.

444168066432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 444168066432 in words is "four hundred forty-four billion, one hundred sixty-eight million, sixty-six thousand, four hundred thirty-two".