21040326216 has 768 divisors, whose sum is σ = 79705866240. Its totient is φ = 4853882880.

The previous prime is 21040326179. The next prime is 21040326217. The reversal of 21040326216 is 61262304012.

21040326216 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 0 + 32 + 621 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21040326216.

It is not an unprimeable number, because it can be changed into a prime (21040326217) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110158681 + ... + 110158871.

It is an arithmetic number, because the mean of its divisors is an integer number (103783680).

Almost surely, 2^21040326216 is an apocalyptic number.

21040326216 is a gapful number since it is divisible by the number (26) 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 21040326216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39852933120).

21040326216 is an abundant number, since it is smaller than the sum of its proper divisors (58665540024).

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

21040326216 is a wasteful number, since it uses less digits than its factorization.

21040326216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 21040326216 in words is "twenty-one billion, forty million, three hundred twenty-six thousand, two hundred sixteen".