21441100521040 has 40 divisors (see below), whose sum is σ = 52782944521320. Its totient is φ = 8071943725056.

The previous prime is 21441100521037. The next prime is 21441100521047. The reversal of 21441100521040 is 4012500114412.

It can be written as a sum of positive squares in 4 ways, for example, as 12023223372304 + 9417877148736 = 3467452^2 + 3068856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 21441100520996 and 21441100521014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21441100521047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7882756185 + ... + 7882758904.

It is an arithmetic number, because the mean of its divisors is an integer number (1319573613033).

Almost surely, 2^{21441100521040} is an apocalyptic number.

21441100521040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21441100521040 is an abundant number, since it is smaller than the sum of its proper divisors (31341844000280).

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

21441100521040 is a wasteful number, since it uses less digits than its factorization.

21441100521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15765515119 (or 15765515113 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 21441100521040 its reverse (4012500114412), we get a palindrome (25453600635452).

The spelling of 21441100521040 in words is "twenty-one trillion, four hundred forty-one billion, one hundred million, five hundred twenty-one thousand, forty".