22041434240 has 128 divisors (see below), whose sum is σ = 60300702720. Its totient is φ = 7546982400.

The previous prime is 22041434227. The next prime is 22041434251. The reversal of 22041434240 is 4243414022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3863390 + ... + 3869090.

It is an arithmetic number, because the mean of its divisors is an integer number (471099240).

Almost surely, 2^22041434240 is an apocalyptic number.

22041434240 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 22041434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30150351360).

22041434240 is an abundant number, since it is smaller than the sum of its proper divisors (38259268480).

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

22041434240 is an equidigital number, since it uses as much as digits as its factorization.

22041434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6590 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 22041434240 its reverse (4243414022), we get a palindrome (26284848262).

The spelling of 22041434240 in words is "twenty-two billion, forty-one million, four hundred thirty-four thousand, two hundred forty".