444024024000000 has 560 divisors, whose sum is σ = 1480262372086608. Its totient is φ = 118274560000000.

The previous prime is 444024023999999. The next prime is 444024024000013. The reversal of 444024024000000 is 420420444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22583990170 + ... + 22584009830.

Almost surely, 2^{444024024000000} is an apocalyptic number.

444024024000000 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 444024024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740131186043304).

444024024000000 is an abundant number, since it is smaller than the sum of its proper divisors (1036238348086608).

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

444024024000000 is an frugal number, since it uses more digits than its factorization.

444024024000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20653 (or 20612 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 444024024000000 its reverse (420420444), we get a palindrome (444024444420444).

The spelling of 444024024000000 in words is "four hundred forty-four trillion, twenty-four billion, twenty-four million", and thus it is an aban number.