443071664640 has 960 divisors, whose sum is σ = 1722860979840. Its totient is φ = 104328069120.

The previous prime is 443071664639. The next prime is 443071664669. The reversal of 443071664640 is 46466170344.

443071664640 is a `hidden beast` number, since 443 + 0 + 7 + 166 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1647106426 + ... + 1647106694.

It is an arithmetic number, because the mean of its divisors is an integer number (1794646854).

Almost surely, 2^443071664640 is an apocalyptic number.

443071664640 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 443071664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861430489920).

443071664640 is an abundant number, since it is smaller than the sum of its proper divisors (1279789315200).

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

443071664640 is a wasteful number, since it uses less digits than its factorization.

443071664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 443071664640 in words is "four hundred forty-three billion, seventy-one million, six hundred sixty-four thousand, six hundred forty".