21433307108224 has 768 divisors, whose sum is σ = 52554912480000. Its totient is φ = 8620619857920.

The previous prime is 21433307108149. The next prime is 21433307108233. The reversal of 21433307108224 is 42280170333412.

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 95 ways as a sum of consecutive naturals, for example, 119739145767 + ... + 119739145945.

It is an arithmetic number, because the mean of its divisors is an integer number (68430875625).

Almost surely, 2^{21433307108224} 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 21433307108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26277456240000).

21433307108224 is an abundant number, since it is smaller than the sum of its proper divisors (31121605371776).

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

21433307108224 is a wasteful number, since it uses less digits than its factorization.

21433307108224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 21433307108224 in words is "twenty-one trillion, four hundred thirty-three billion, three hundred seven million, one hundred eight thousand, two hundred twenty-four".