21140433233920 has 768 divisors, whose sum is σ = 71067742986240. Its totient is φ = 5817846988800.

The previous prime is 21140433233873. The next prime is 21140433233963. The reversal of 21140433233920 is 2933233404112.

It is a self number, because there is not a number n which added to its sum of digits gives 21140433233920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235710685 + ... + 235800355.

It is an arithmetic number, because the mean of its divisors is an integer number (92536123680).

Almost surely, 2^{21140433233920} is an apocalyptic number.

21140433233920 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 21140433233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35533871493120).

21140433233920 is an abundant number, since it is smaller than the sum of its proper divisors (49927309752320).

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

21140433233920 is a wasteful number, since it uses less digits than its factorization.

21140433233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89752 (or 89732 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 21140433233920 in words is "twenty-one trillion, one hundred forty billion, four hundred thirty-three million, two hundred thirty-three thousand, nine hundred twenty".