21042122328 has 192 divisors, whose sum is σ = 60713452800. Its totient is φ = 6824787840.

The previous prime is 21042122327. The next prime is 21042122347. The reversal of 21042122328 is 82322124012.

21042122328 is a `hidden beast` number, since 2 + 1 + 0 + 421 + 2 + 232 + 8 = 666.

It is a super-2 number, since 2×21042122328² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21042122327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13496413 + ... + 13497971.

It is an arithmetic number, because the mean of its divisors is an integer number (316215900).

Almost surely, 2^21042122328 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 21042122328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30356726400).

21042122328 is an abundant number, since it is smaller than the sum of its proper divisors (39671330472).

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

21042122328 is a wasteful number, since it uses less digits than its factorization.

21042122328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 21042122328 in words is "twenty-one billion, forty-two million, one hundred twenty-two thousand, three hundred twenty-eight".