22405322420 has 96 divisors (see below), whose sum is σ = 51211657728. Its totient is φ = 8184863232.

The previous prime is 22405322417. The next prime is 22405322437. The reversal of 22405322420 is 2422350422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 22405322420.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10734617 + ... + 10736703.

It is an arithmetic number, because the mean of its divisors is an integer number (533454768).

Almost surely, 2^22405322420 is an apocalyptic number.

22405322420 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 22405322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25605828864).

22405322420 is an abundant number, since it is smaller than the sum of its proper divisors (28806335308).

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

22405322420 is a wasteful number, since it uses less digits than its factorization.

22405322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 22405322420 its reverse (2422350422), we get a palindrome (24827672842).

The spelling of 22405322420 in words is "twenty-two billion, four hundred five million, three hundred twenty-two thousand, four hundred twenty".