20444004000 has 576 divisors, whose sum is σ = 85628454912. Its totient is φ = 4520448000.

The previous prime is 20444003989. The next prime is 20444004001. The reversal of 20444004000 is 40044402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (20444004001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7810692 + ... + 7813308.

It is an arithmetic number, because the mean of its divisors is an integer number (148660512).

Almost surely, 2^20444004000 is an apocalyptic number.

20444004000 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 20444004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42814227456).

20444004000 is an abundant number, since it is smaller than the sum of its proper divisors (65184450912).

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

20444004000 is a wasteful number, since it uses less digits than its factorization.

20444004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20444004000 its reverse (40044402), we get a palindrome (20484048402).

The spelling of 20444004000 in words is "twenty billion, four hundred forty-four million, four thousand".