21000312233340 has 192 divisors, whose sum is σ = 66020782399488. Its totient is φ = 4944365395200.

The previous prime is 21000312233323. The next prime is 21000312233393. The reversal of 21000312233340 is 4333221300012.

It is a super-2 number, since 2×21000312233340² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21000312233340.

It is a congruent number.

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, 204784 + ... + 6484023.

It is an arithmetic number, because the mean of its divisors is an integer number (343858241664).

Almost surely, 2^{21000312233340} is an apocalyptic number.

21000312233340 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 21000312233340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33010391199744).

21000312233340 is an abundant number, since it is smaller than the sum of its proper divisors (45020470166148).

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

21000312233340 is a wasteful number, since it uses less digits than its factorization.

21000312233340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688968 (or 6688966 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21000312233340 its reverse (4333221300012), we get a palindrome (25333533533352).

The spelling of 21000312233340 in words is "twenty-one trillion, three hundred twelve million, two hundred thirty-three thousand, three hundred forty".