21011132240 has 160 divisors (see below), whose sum is σ = 58001287680. Its totient is φ = 6928588800.

The previous prime is 21011132239. The next prime is 21011132299. The reversal of 21011132240 is 4223111012.

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 31 ways as a sum of consecutive naturals, for example, 1623716 + ... + 1636604.

It is an arithmetic number, because the mean of its divisors is an integer number (362508048).

Almost surely, 2^21011132240 is an apocalyptic number.

21011132240 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 21011132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29000643840).

21011132240 is an abundant number, since it is smaller than the sum of its proper divisors (36990155440).

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

21011132240 is a wasteful number, since it uses less digits than its factorization.

21011132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13021 (or 13015 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21011132240 its reverse (4223111012), we get a palindrome (25234243252).

The spelling of 21011132240 in words is "twenty-one billion, eleven million, one hundred thirty-two thousand, two hundred forty".