20142444300000 has 288 divisors, whose sum is σ = 72096192298368. Its totient is φ = 4883016000000.

The previous prime is 20142444299963. The next prime is 20142444300061. The reversal of 20142444300000 is 344424102.

It is a happy number.

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

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, 248115 + ... + 6351885.

It is an arithmetic number, because the mean of its divisors is an integer number (250334001036).

Almost surely, 2^{20142444300000} is an apocalyptic number.

20142444300000 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 20142444300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36048096149184).

20142444300000 is an abundant number, since it is smaller than the sum of its proper divisors (51953747998368).

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

20142444300000 is an equidigital number, since it uses as much as digits as its factorization.

20142444300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6103820 (or 6103792 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20142444300000 its reverse (344424102), we get a palindrome (20142788724102).

The spelling of 20142444300000 in words is "twenty trillion, one hundred forty-two billion, four hundred forty-four million, three hundred thousand".