20444424000000 has 4480 divisors, whose sum is σ = 97961226080256. Its totient is φ = 3649536000000.

The previous prime is 20444423999981. The next prime is 20444424000001. The reversal of 20444424000000 is 42444402.

It is a tau number, because it is divible by the number of its divisors (4480).

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

It is not an unprimeable number, because it can be changed into a prime (20444424000001) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 552551999982 + ... + 552552000018.

Almost surely, 2^{20444424000000} is an apocalyptic number.

20444424000000 is a gapful number since it is divisible by the number (20) 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 20444424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48980613040128).

20444424000000 is an abundant number, since it is smaller than the sum of its proper divisors (77516802080256).

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

20444424000000 is an equidigital number, since it uses as much as digits as its factorization.

20444424000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

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

Adding to 20444424000000 its reverse (42444402), we get a palindrome (20444466444402).

The spelling of 20444424000000 in words is "twenty trillion, four hundred forty-four billion, four hundred twenty-four million", and thus it is an aban number.