21422314240 has 144 divisors (see below), whose sum is σ = 53006970240. Its totient is φ = 8290304000.

The previous prime is 21422314213. The next prime is 21422314247. The reversal of 21422314240 is 4241322412.

It is not an unprimeable number, because it can be changed into a prime (21422314247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5352240 + ... + 5356240.

It is an arithmetic number, because the mean of its divisors is an integer number (368103960).

Almost surely, 2^21422314240 is an apocalyptic number.

21422314240 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 21422314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503485120).

21422314240 is an abundant number, since it is smaller than the sum of its proper divisors (31584656000).

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

21422314240 is an equidigital number, since it uses as much as digits as its factorization.

21422314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 21422314240 its reverse (4241322412), we get a palindrome (25663636652).

The spelling of 21422314240 in words is "twenty-one billion, four hundred twenty-two million, three hundred fourteen thousand, two hundred forty".