21441713071040 has 112 divisors (see below), whose sum is σ = 51245657642592. Its totient is φ = 8545215123456.

The previous prime is 21441713071033. The next prime is 21441713071057. The reversal of 21441713071040 is 4017031714412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141722474 + ... + 141873686.

It is an arithmetic number, because the mean of its divisors is an integer number (457550514666).

Almost surely, 2^{21441713071040} is an apocalyptic number.

21441713071040 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 21441713071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25622828821296).

21441713071040 is an abundant number, since it is smaller than the sum of its proper divisors (29803944571552).

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

21441713071040 is a wasteful number, since it uses less digits than its factorization.

21441713071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152854 (or 152844 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

Adding to 21441713071040 its reverse (4017031714412), we get a palindrome (25458744785452).

The spelling of 21441713071040 in words is "twenty-one trillion, four hundred forty-one billion, seven hundred thirteen million, seventy-one thousand, forty".