21444104000 has 168 divisors, whose sum is σ = 58375701384. Its totient is φ = 7797504000.

The previous prime is 21444103939. The next prime is 21444104111. The reversal of 21444104000 is 40144412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4687319296 + 16756784704 = 68464^2 + 129448^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956924 + ... + 979076.

It is an arithmetic number, because the mean of its divisors is an integer number (347474413).

Almost surely, 2^21444104000 is an apocalyptic number.

21444104000 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 21444104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29187850692).

21444104000 is an abundant number, since it is smaller than the sum of its proper divisors (36931597384).

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

21444104000 is a wasteful number, since it uses less digits than its factorization.

21444104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22202 (or 22171 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21444104000 its reverse (40144412), we get a palindrome (21484248412).

The spelling of 21444104000 in words is "twenty-one billion, four hundred forty-four million, one hundred four thousand".