21014210432220 has 384 divisors, whose sum is σ = 66934533980160. Its totient is φ = 4899969930240.

The previous prime is 21014210432147. The next prime is 21014210432261. The reversal of 21014210432220 is 2223401241012.

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 127 ways as a sum of consecutive naturals, for example, 87376054 + ... + 87616226.

It is an arithmetic number, because the mean of its divisors is an integer number (174308682240).

Almost surely, 2^{21014210432220} is an apocalyptic number.

21014210432220 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 21014210432220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33467266990080).

21014210432220 is an abundant number, since it is smaller than the sum of its proper divisors (45920323547940).

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

21014210432220 is a wasteful number, since it uses less digits than its factorization.

21014210432220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240345 (or 240343 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21014210432220 its reverse (2223401241012), we get a palindrome (23237611673232).

The spelling of 21014210432220 in words is "twenty-one trillion, fourteen billion, two hundred ten million, four hundred thirty-two thousand, two hundred twenty".