22106362440 has 256 divisors, whose sum is σ = 72493056000. Its totient is φ = 5371591680.

The previous prime is 22106362429. The next prime is 22106362441. The reversal of 22106362440 is 4426360122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22106362398 and 22106362407.

It is not an unprimeable number, because it can be changed into a prime (22106362441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24265585 + ... + 24266495.

It is an arithmetic number, because the mean of its divisors is an integer number (283176000).

Almost surely, 2^22106362440 is an apocalyptic number.

22106362440 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 22106362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36246528000).

22106362440 is an abundant number, since it is smaller than the sum of its proper divisors (50386693560).

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

22106362440 is a wasteful number, since it uses less digits than its factorization.

22106362440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 22106362440 in words is "twenty-two billion, one hundred six million, three hundred sixty-two thousand, four hundred forty".