20441141301024 has 144 divisors (see below), whose sum is σ = 58685079398400. Its totient is φ = 6748769664000.

The previous prime is 20441141301019. The next prime is 20441141301037. The reversal of 20441141301024 is 42010314114402.

20441141301024 is a `hidden beast` number, since 20 + 441 + 141 + 30 + 10 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21442524 + ... + 22375524.

It is an arithmetic number, because the mean of its divisors is an integer number (407535273600).

Almost surely, 2^{20441141301024} is an apocalyptic number.

20441141301024 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 20441141301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29342539699200).

20441141301024 is an abundant number, since it is smaller than the sum of its proper divisors (38243938097376).

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

20441141301024 is a wasteful number, since it uses less digits than its factorization.

20441141301024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933743 (or 933732 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20441141301024 its reverse (42010314114402), we get a palindrome (62451455415426).

The spelling of 20441141301024 in words is "twenty trillion, four hundred forty-one billion, one hundred forty-one million, three hundred one thousand, twenty-four".