22134442240 has 72 divisors (see below), whose sum is σ = 53190341568. Its totient is φ = 8825149440.

The previous prime is 22134442229. The next prime is 22134442243. The reversal of 22134442240 is 4224443122.

It is a junction number, because it is equal to n+sod(n) for n = 22134442199 and 22134442208.

It is not an unprimeable number, because it can be changed into a prime (22134442243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370279 + ... + 425881.

It is an arithmetic number, because the mean of its divisors is an integer number (738754744).

Almost surely, 2^22134442240 is an apocalyptic number.

22134442240 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 22134442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26595170784).

22134442240 is an abundant number, since it is smaller than the sum of its proper divisors (31055899328).

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

22134442240 is an equidigital number, since it uses as much as digits as its factorization.

22134442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55935 (or 55921 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22134442240 its reverse (4224443122), we get a palindrome (26358885362).

The spelling of 22134442240 in words is "twenty-two billion, one hundred thirty-four million, four hundred forty-two thousand, two hundred forty".