444443434224000 has 512 divisors, whose sum is σ = 1570505234688000. Its totient is φ = 110859157094400.

The previous prime is 444443434223941. The next prime is 444443434224017. The reversal of 444443434224000 is 422434344444.

It is a super-3 number, since 3×444443434224000³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68963644 + ... + 75132356.

It is an arithmetic number, because the mean of its divisors is an integer number (3067393036500).

Almost surely, 2^{444443434224000} is an apocalyptic number.

444443434224000 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 444443434224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785252617344000).

444443434224000 is an abundant number, since it is smaller than the sum of its proper divisors (1126061800464000).

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

444443434224000 is a wasteful number, since it uses less digits than its factorization.

444443434224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168843 (or 6168821 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 42.

Adding to 444443434224000 its reverse (422434344444), we get a palindrome (444865868568444).

The spelling of 444443434224000 in words is "four hundred forty-four trillion, four hundred forty-three billion, four hundred thirty-four million, two hundred twenty-four thousand".