21241140480 has 864 divisors, whose sum is σ = 89996175360. Its totient is φ = 4521000960.

The previous prime is 21241140463. The next prime is 21241140491. The reversal of 21241140480 is 8404114212.

21241140480 is a `hidden beast` number, since 2 + 1 + 2 + 41 + 140 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72495214 + ... + 72495506.

It is an arithmetic number, because the mean of its divisors is an integer number (104162240).

Almost surely, 2^21241140480 is an apocalyptic number.

21241140480 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 21241140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44998087680).

21241140480 is an abundant number, since it is smaller than the sum of its proper divisors (68755034880).

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

21241140480 is a wasteful number, since it uses less digits than its factorization.

21241140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 21241140480 its reverse (8404114212), we get a palindrome (29645254692).

The spelling of 21241140480 in words is "twenty-one billion, two hundred forty-one million, one hundred forty thousand, four hundred eighty".