21033826314000 has 320 divisors, whose sum is σ = 70346427540480. Its totient is φ = 5402941440000.

The previous prime is 21033826313963. The next prime is 21033826314071. The reversal of 21033826314000 is 41362833012.

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, 18892840 + ... + 19975160.

It is an arithmetic number, because the mean of its divisors is an integer number (219832586064).

Almost surely, 2^{21033826314000} is an apocalyptic number.

21033826314000 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 21033826314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35173213770240).

21033826314000 is an abundant number, since it is smaller than the sum of its proper divisors (49312601226480).

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

21033826314000 is a wasteful number, since it uses less digits than its factorization.

21033826314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082467 (or 1082451 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 21033826314000 in words is "twenty-one trillion, thirty-three billion, eight hundred twenty-six million, three hundred fourteen thousand".