21242233040 has 240 divisors, whose sum is σ = 61262936064. Its totient is φ = 6806016000.

The previous prime is 21242233037. The next prime is 21242233063. The reversal of 21242233040 is 4033224212.

It is a junction number, because it is equal to n+sod(n) for n = 21242232997 and 21242233015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10061585 + ... + 10063695.

Almost surely, 2^21242233040 is an apocalyptic number.

21242233040 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 21242233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30631468032).

21242233040 is an abundant number, since it is smaller than the sum of its proper divisors (40020703024).

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

21242233040 is a wasteful number, since it uses less digits than its factorization.

21242233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 21242233040 its reverse (4033224212), we get a palindrome (25275457252).

The spelling of 21242233040 in words is "twenty-one billion, two hundred forty-two million, two hundred thirty-three thousand, forty".