22042009440 has 384 divisors, whose sum is σ = 88593523200. Its totient is φ = 5062072320.

The previous prime is 22042009433. The next prime is 22042009477. The reversal of 22042009440 is 4490024022.

It is a super-2 number, since 2×22042009440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 890674 + ... + 915086.

It is an arithmetic number, because the mean of its divisors is an integer number (230712300).

Almost surely, 2^22042009440 is an apocalyptic number.

22042009440 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 22042009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44296761600).

22042009440 is an abundant number, since it is smaller than the sum of its proper divisors (66551513760).

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

22042009440 is a wasteful number, since it uses less digits than its factorization.

22042009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24467 (or 24453 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 22042009440 in words is "twenty-two billion, forty-two million, nine thousand, four hundred forty".