20013344242040 has 128 divisors (see below), whose sum is σ = 46509154560000. Its totient is φ = 7745943582720.

The previous prime is 20013344242027. The next prime is 20013344242049. The reversal of 20013344242040 is 4024244331002.

It is a junction number, because it is equal to n+sod(n) for n = 20013344241994 and 20013344242012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013344242049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388499885 + ... + 388551395.

It is an arithmetic number, because the mean of its divisors is an integer number (363352770000).

Almost surely, 2^{20013344242040} is an apocalyptic number.

20013344242040 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 20013344242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23254577280000).

20013344242040 is an abundant number, since it is smaller than the sum of its proper divisors (26495810317960).

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

20013344242040 is a wasteful number, since it uses less digits than its factorization.

20013344242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53677 (or 53673 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 20013344242040 its reverse (4024244331002), we get a palindrome (24037588573042).

The spelling of 20013344242040 in words is "twenty trillion, thirteen billion, three hundred forty-four million, two hundred forty-two thousand, forty".