20442204000 has 576 divisors, whose sum is σ = 75738499200. Its totient is φ = 5217177600.

The previous prime is 20442203953. The next prime is 20442204011. The reversal of 20442204000 is 40224402.

20442204000 is a `hidden beast` number, since 2 + 0 + 44 + 220 + 400 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 137195926 + ... + 137196074.

It is an arithmetic number, because the mean of its divisors is an integer number (131490450).

Almost surely, 2^20442204000 is an apocalyptic number.

20442204000 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 20442204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37869249600).

20442204000 is an abundant number, since it is smaller than the sum of its proper divisors (55296295200).

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

20442204000 is a wasteful number, since it uses less digits than its factorization.

20442204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

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

Adding to 20442204000 its reverse (40224402), we get a palindrome (20482428402).

The spelling of 20442204000 in words is "twenty billion, four hundred forty-two million, two hundred four thousand".