20442240000000 has 2688 divisors, whose sum is σ = 93690041402880. Its totient is φ = 4313088000000.

The previous prime is 20442239999989. The next prime is 20442240000029. The reversal of 20442240000000 is 4224402.

20442240000000 is a `hidden beast` number, since 204 + 422 + 40 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1572479999994 + ... + 1572480000006.

Almost surely, 2^{20442240000000} is an apocalyptic number.

20442240000000 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 20442240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46845020701440).

20442240000000 is an abundant number, since it is smaller than the sum of its proper divisors (73247801402880).

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

20442240000000 is an frugal number, since it uses more digits than its factorization.

20442240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20442240000000 its reverse (4224402), we get a palindrome (20442244224402).

The spelling of 20442240000000 in words is "twenty trillion, four hundred forty-two billion, two hundred forty million", and thus it is an aban number.