21742640330320 has 960 divisors, whose sum is σ = 68230617960960. Its totient is φ = 6363760951296.

The previous prime is 21742640330317. The next prime is 21742640330363. The reversal of 21742640330320 is 2303304624712.

It is a super-2 number, since 2×21742640330320² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21742640330320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12403102564 + ... + 12403104316.

It is an arithmetic number, because the mean of its divisors is an integer number (71073560376).

Almost surely, 2^{21742640330320} is an apocalyptic number.

21742640330320 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 21742640330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34115308980480).

21742640330320 is an abundant number, since it is smaller than the sum of its proper divisors (46487977630640).

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

21742640330320 is a wasteful number, since it uses less digits than its factorization.

21742640330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 37.

The spelling of 21742640330320 in words is "twenty-one trillion, seven hundred forty-two billion, six hundred forty million, three hundred thirty thousand, three hundred twenty".