20241021240144 has 240 divisors, whose sum is σ = 62014937337600. Its totient is φ = 6140421540864.

The previous prime is 20241021240109. The next prime is 20241021240149. The reversal of 20241021240144 is 44104212014202.

20241021240144 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 1 + 0 + 212 + 401 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20241021240149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6731842 + ... + 9262814.

It is an arithmetic number, because the mean of its divisors is an integer number (258395572240).

Almost surely, 2^{20241021240144} is an apocalyptic number.

20241021240144 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 20241021240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31007468668800).

20241021240144 is an abundant number, since it is smaller than the sum of its proper divisors (41773916097456).

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

20241021240144 is a wasteful number, since it uses less digits than its factorization.

20241021240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531122 (or 2531113 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 20241021240144 its reverse (44104212014202), we get a palindrome (64345233254346).

The spelling of 20241021240144 in words is "twenty trillion, two hundred forty-one billion, twenty-one million, two hundred forty thousand, one hundred forty-four".