20442621337200 has 600 divisors, whose sum is σ = 77352204955520. Its totient is φ = 5156169177600.

The previous prime is 20442621337169. The next prime is 20442621337213. The reversal of 20442621337200 is 273312624402.

20442621337200 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 2 + 621 + 3 + 3 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×20442621337200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 388417287 + ... + 388469913.

Almost surely, 2^{20442621337200} is an apocalyptic number.

20442621337200 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 20442621337200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38676102477760).

20442621337200 is an abundant number, since it is smaller than the sum of its proper divisors (56909583618320).

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

20442621337200 is a wasteful number, since it uses less digits than its factorization.

20442621337200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53307 (or 53287 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 20442621337200 in words is "twenty trillion, four hundred forty-two billion, six hundred twenty-one million, three hundred thirty-seven thousand, two hundred".