20331140344000 has 224 divisors, whose sum is σ = 53342472927744. Its totient is φ = 7649678131200.

The previous prime is 20331140343991. The next prime is 20331140344007. The reversal of 20331140344000 is 44304113302.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20331140344007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241629937 + ... + 241714063.

It is an arithmetic number, because the mean of its divisors is an integer number (238136039856).

Almost surely, 2^{20331140344000} is an apocalyptic number.

20331140344000 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 20331140344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671236463872).

20331140344000 is an abundant number, since it is smaller than the sum of its proper divisors (33011332583744).

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

20331140344000 is a wasteful number, since it uses less digits than its factorization.

20331140344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85948 (or 85928 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 20331140344000 its reverse (44304113302), we get a palindrome (20375444457302).

The spelling of 20331140344000 in words is "twenty trillion, three hundred thirty-one billion, one hundred forty million, three hundred forty-four thousand".