21755734233040 has 40 divisors (see below), whose sum is σ = 50712113223720. Its totient is φ = 8679922745856.

The previous prime is 21755734233029. The next prime is 21755734233043. The reversal of 21755734233040 is 4033243755712.

It can be written as a sum of positive squares in 4 ways, for example, as 4741297212304 + 17014437020736 = 2177452^2 + 4124856^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21755734233043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349514739 + ... + 349576978.

It is an arithmetic number, because the mean of its divisors is an integer number (1267802830593).

Almost surely, 2^{21755734233040} is an apocalyptic number.

21755734233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21755734233040 is an abundant number, since it is smaller than the sum of its proper divisors (28956378990680).

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

21755734233040 is a wasteful number, since it uses less digits than its factorization.

21755734233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699092119 (or 699092113 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 46.

Adding to 21755734233040 its reverse (4033243755712), we get a palindrome (25788977988752).

The spelling of 21755734233040 in words is "twenty-one trillion, seven hundred fifty-five billion, seven hundred thirty-four million, two hundred thirty-three thousand, forty".