21441615360 has 320 divisors, whose sum is σ = 75093765120. Its totient is φ = 5176033280.

The previous prime is 21441615337. The next prime is 21441615373. The reversal of 21441615360 is 6351614412.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 29821081 + ... + 29821799.

It is an arithmetic number, because the mean of its divisors is an integer number (234668016).

Almost surely, 2^21441615360 is an apocalyptic number.

21441615360 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 21441615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37546882560).

21441615360 is an abundant number, since it is smaller than the sum of its proper divisors (53652149760).

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

21441615360 is a wasteful number, since it uses less digits than its factorization.

21441615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 21441615360 in words is "twenty-one billion, four hundred forty-one million, six hundred fifteen thousand, three hundred sixty".