20334440442200 has 192 divisors, whose sum is σ = 47994249600000. Its totient is φ = 8011605888000.

The previous prime is 20334440442193. The next prime is 20334440442233. The reversal of 20334440442200 is 224404443302.

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, 2247143276 + ... + 2247152324.

It is an arithmetic number, because the mean of its divisors is an integer number (249970050000).

Almost surely, 2^{20334440442200} is an apocalyptic number.

20334440442200 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 20334440442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23997124800000).

20334440442200 is an abundant number, since it is smaller than the sum of its proper divisors (27659809157800).

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

20334440442200 is a wasteful number, since it uses less digits than its factorization.

20334440442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 20334440442200 its reverse (224404443302), we get a palindrome (20558844885502).

The spelling of 20334440442200 in words is "twenty trillion, three hundred thirty-four billion, four hundred forty million, four hundred forty-two thousand, two hundred".