20004444000 has 288 divisors, whose sum is σ = 75174293376. Its totient is φ = 5020569600.

The previous prime is 20004443999. The next prime is 20004444011. The reversal of 20004444000 is 44440002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595657 + ... + 628343.

It is an arithmetic number, because the mean of its divisors is an integer number (261021852).

Almost surely, 2^20004444000 is an apocalyptic number.

20004444000 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 20004444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37587146688).

20004444000 is an abundant number, since it is smaller than the sum of its proper divisors (55169849376).

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

20004444000 is a wasteful number, since it uses less digits than its factorization.

20004444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32735 (or 32714 counting only the distinct ones).

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

Adding to 20004444000 its reverse (44440002), we get a palindrome (20048884002).

The spelling of 20004444000 in words is "twenty billion, four million, four hundred forty-four thousand".