444482344020 has 768 divisors, whose sum is σ = 1605381120000. Its totient is φ = 90226483200.

The previous prime is 444482343997. The next prime is 444482344043. The reversal of 444482344020 is 20443284444.

It is an interprime number because it is at equal distance from previous prime (444482343997) and next prime (444482344043).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 444482344020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 704409105 + ... + 704409735.

It is an arithmetic number, because the mean of its divisors is an integer number (2090340000).

Almost surely, 2^444482344020 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 444482344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802690560000).

444482344020 is an abundant number, since it is smaller than the sum of its proper divisors (1160898775980).

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

444482344020 is a wasteful number, since it uses less digits than its factorization.

444482344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

The spelling of 444482344020 in words is "four hundred forty-four billion, four hundred eighty-two million, three hundred forty-four thousand, twenty".