21327445440 has 336 divisors, whose sum is σ = 84629256192. Its totient is φ = 4828796928.

The previous prime is 21327445423. The next prime is 21327445459. The reversal of 21327445440 is 4454472312.

21327445440 is a `hidden beast` number, since 2 + 132 + 74 + 454 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21327445395 and 21327445404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2152177 + ... + 2162063.

Almost surely, 2^21327445440 is an apocalyptic number.

21327445440 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 21327445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42314628096).

21327445440 is an abundant number, since it is smaller than the sum of its proper divisors (63301810752).

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

21327445440 is a wasteful number, since it uses less digits than its factorization.

21327445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 21327445440 in words is "twenty-one billion, three hundred twenty-seven million, four hundred forty-five thousand, four hundred forty".