21322873938240 has 336 divisors, whose sum is σ = 84030365108352. Its totient is φ = 4861521358848.

The previous prime is 21322873938227. The next prime is 21322873938257. The reversal of 21322873938240 is 4283937822312.

21322873938240 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 8 + 7 + 393 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 6671427 + ... + 9335613.

Almost surely, 2^{21322873938240} is an apocalyptic number.

21322873938240 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 21322873938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42015182554176).

21322873938240 is an abundant number, since it is smaller than the sum of its proper divisors (62707491170112).

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

21322873938240 is a wasteful number, since it uses less digits than its factorization.

21322873938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664614 (or 2664601 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 21322873938240 in words is "twenty-one trillion, three hundred twenty-two billion, eight hundred seventy-three million, nine hundred thirty-eight thousand, two hundred forty".