444883834321920 has 880 divisors, whose sum is σ = 1822724590748160. Its totient is φ = 101644878053376.

The previous prime is 444883834321919. The next prime is 444883834321939. The reversal of 444883834321920 is 29123438388444.

444883834321920 is a `hidden beast` number, since 4 + 4 + 4 + 8 + 8 + 3 + 8 + 3 + 432 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7161768621 + ... + 7161830739.

It is an arithmetic number, because the mean of its divisors is an integer number (2071277944032).

Almost surely, 2^{444883834321920} is an apocalyptic number.

444883834321920 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 444883834321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911362295374080).

444883834321920 is an abundant number, since it is smaller than the sum of its proper divisors (1377840756426240).

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

444883834321920 is a wasteful number, since it uses less digits than its factorization.

444883834321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64630 (or 64603 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 444883834321920 in words is "four hundred forty-four trillion, eight hundred eighty-three billion, eight hundred thirty-four million, three hundred twenty-one thousand, nine hundred twenty".