22564040040 has 384 divisors, whose sum is σ = 78278054400. Its totient is φ = 5628579840.

The previous prime is 22564040033. The next prime is 22564040069. The reversal of 22564040040 is 4004046522.

22564040040 is a `hidden beast` number, since 2 + 256 + 4 + 0 + 400 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22564039986 and 22564040013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43143219 + ... + 43143741.

It is an arithmetic number, because the mean of its divisors is an integer number (203849100).

Almost surely, 2^22564040040 is an apocalyptic number.

22564040040 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 22564040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39139027200).

22564040040 is an abundant number, since it is smaller than the sum of its proper divisors (55714014360).

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

22564040040 is a wasteful number, since it uses less digits than its factorization.

22564040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22564040040 its reverse (4004046522), we get a palindrome (26568086562).

The spelling of 22564040040 in words is "twenty-two billion, five hundred sixty-four million, forty thousand, forty".