21330613923840 has 2080 divisors, whose sum is σ = 88367076173376. Its totient is φ = 4875249254400.

The previous prime is 21330613923809. The next prime is 21330613923881. The reversal of 21330613923840 is 4832931603312.

21330613923840 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 613 + 9 + 23 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30428835490 + ... + 30428836190.

Almost surely, 2^{21330613923840} is an apocalyptic number.

21330613923840 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 21330613923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44183538086688).

21330613923840 is an abundant number, since it is smaller than the sum of its proper divisors (67036462249536).

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

21330613923840 is a wasteful number, since it uses less digits than its factorization.

21330613923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 21330613923840 in words is "twenty-one trillion, three hundred thirty billion, six hundred thirteen million, nine hundred twenty-three thousand, eight hundred forty".