22415340000 has 480 divisors, whose sum is σ = 78976719360. Its totient is φ = 5550336000.

The previous prime is 22415339993. The next prime is 22415340047. The reversal of 22415340000 is 4351422.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51059781 + ... + 51060219.

It is an arithmetic number, because the mean of its divisors is an integer number (164534832).

Almost surely, 2^22415340000 is an apocalyptic number.

22415340000 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 22415340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39488359680).

22415340000 is an abundant number, since it is smaller than the sum of its proper divisors (56561379360).

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

22415340000 is a wasteful number, since it uses less digits than its factorization.

22415340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 22415340000 its reverse (4351422), we get a palindrome (22419691422).

The spelling of 22415340000 in words is "twenty-two billion, four hundred fifteen million, three hundred forty thousand".