21441472071680 has 768 divisors, whose sum is σ = 60068107008000. Its totient is φ = 7294406361088.

The previous prime is 21441472071667. The next prime is 21441472071739. The reversal of 21441472071680 is 8617027414412.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5457231956 + ... + 5457235884.

It is an arithmetic number, because the mean of its divisors is an integer number (78213681000).

Almost surely, 2^{21441472071680} is an apocalyptic number.

21441472071680 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 21441472071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30034053504000).

21441472071680 is an abundant number, since it is smaller than the sum of its proper divisors (38626634936320).

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

21441472071680 is a wasteful number, since it uses less digits than its factorization.

21441472071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The spelling of 21441472071680 in words is "twenty-one trillion, four hundred forty-one billion, four hundred seventy-two million, seventy-one thousand, six hundred eighty".