20142313440000 has 720 divisors, whose sum is σ = 71176634686080. Its totient is φ = 5040783360000.

The previous prime is 20142313439987. The next prime is 20142313440091. The reversal of 20142313440000 is 4431324102.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 79 ways as a sum of consecutive naturals, for example, 975829680 + ... + 975850320.

It is an arithmetic number, because the mean of its divisors is an integer number (98856437064).

Almost surely, 2^{20142313440000} is an apocalyptic number.

20142313440000 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 20142313440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35588317343040).

20142313440000 is an abundant number, since it is smaller than the sum of its proper divisors (51034321246080).

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

20142313440000 is a wasteful number, since it uses less digits than its factorization.

20142313440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20806 (or 20777 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20142313440000 its reverse (4431324102), we get a palindrome (20146744764102).

The spelling of 20142313440000 in words is "twenty trillion, one hundred forty-two billion, three hundred thirteen million, four hundred forty thousand".