21334301440 has 72 divisors (see below), whose sum is σ = 51267591648. Its totient is φ = 8506122240.

The previous prime is 21334301393. The next prime is 21334301459. The reversal of 21334301440 is 4410343312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371284 + ... + 424876.

It is an arithmetic number, because the mean of its divisors is an integer number (712049884).

Almost surely, 2^21334301440 is an apocalyptic number.

21334301440 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 21334301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25633795824).

21334301440 is an abundant number, since it is smaller than the sum of its proper divisors (29933290208).

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

21334301440 is an equidigital number, since it uses as much as digits as its factorization.

21334301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53925 (or 53911 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 21334301440 its reverse (4410343312), we get a palindrome (25744644752).

The spelling of 21334301440 in words is "twenty-one billion, three hundred thirty-four million, three hundred one thousand, four hundred forty".