21204840335328 has 240 divisors, whose sum is σ = 67324237540560. Its totient is φ = 6508609542144.

The previous prime is 21204840335257. The next prime is 21204840335333. The reversal of 21204840335328 is 82353304840212.

21204840335328 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 4 + 84 + 0 + 33 + 532 + 8 = 666.

It is a super-3 number, since 3×21204840335328³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13012351 + ... + 14550977.

It is an arithmetic number, because the mean of its divisors is an integer number (280517656419).

Almost surely, 2^{21204840335328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21204840335328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33662118770280).

21204840335328 is an abundant number, since it is smaller than the sum of its proper divisors (46119397205232).

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

21204840335328 is a wasteful number, since it uses less digits than its factorization.

21204840335328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539071 (or 1539054 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 21204840335328 in words is "twenty-one trillion, two hundred four billion, eight hundred forty million, three hundred thirty-five thousand, three hundred twenty-eight".