20142441305184 has 192 divisors, whose sum is σ = 59384419315200. Its totient is φ = 5924971008000.

The previous prime is 20142441305179. The next prime is 20142441305279. The reversal of 20142441305184 is 48150314424102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7446994 + ... + 9784814.

It is an arithmetic number, because the mean of its divisors is an integer number (309293850600).

Almost surely, 2^{20142441305184} is an apocalyptic number.

20142441305184 is a gapful number since it is divisible by the number (24) 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 20142441305184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29692209657600).

20142441305184 is an abundant number, since it is smaller than the sum of its proper divisors (39241978010016).

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

20142441305184 is a wasteful number, since it uses less digits than its factorization.

20142441305184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338085 (or 2338077 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

Adding to 20142441305184 its reverse (48150314424102), we get a palindrome (68292755729286).

The spelling of 20142441305184 in words is "twenty trillion, one hundred forty-two billion, four hundred forty-one million, three hundred five thousand, one hundred eighty-four".