21410533971456 has 640 divisors, whose sum is σ = 70923795824640. Its totient is φ = 5601108787200.

The previous prime is 21410533971397. The next prime is 21410533971457. The reversal of 21410533971456 is 65417933501412.

It is a junction number, because it is equal to n+sod(n) for n = 21410533971399 and 21410533971408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21410533971457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6313927521 + ... + 6313930911.

It is an arithmetic number, because the mean of its divisors is an integer number (110818430976).

Almost surely, 2^{21410533971456} 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 21410533971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35461897912320).

21410533971456 is an abundant number, since it is smaller than the sum of its proper divisors (49513261853184).

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

21410533971456 is a wasteful number, since it uses less digits than its factorization.

21410533971456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 21410533971456 in words is "twenty-one trillion, four hundred ten billion, five hundred thirty-three million, nine hundred seventy-one thousand, four hundred fifty-six".