22456240040 has 128 divisors (see below), whose sum is σ = 56507673600. Its totient is φ = 8023092480.

The previous prime is 22456240031. The next prime is 22456240061. The reversal of 22456240040 is 4004265422.

It is a junction number, because it is equal to n+sod(n) for n = 22456239985 and 22456240012.

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, 2720159 + ... + 2728401.

It is an arithmetic number, because the mean of its divisors is an integer number (441466200).

Almost surely, 2^22456240040 is an apocalyptic number.

22456240040 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 22456240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28253836800).

22456240040 is an abundant number, since it is smaller than the sum of its proper divisors (34051433560).

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

22456240040 is a wasteful number, since it uses less digits than its factorization.

22456240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The spelling of 22456240040 in words is "twenty-two billion, four hundred fifty-six million, two hundred forty thousand, forty".