22445443440 has 720 divisors, whose sum is σ = 92253470400. Its totient is φ = 4971663360.

The previous prime is 22445443439. The next prime is 22445443457. The reversal of 22445443440 is 4434454422.

22445443440 is a `hidden beast` number, since 2 + 2 + 44 + 544 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22445443395 and 22445443404.

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 143 ways as a sum of consecutive naturals, for example, 150640486 + ... + 150640634.

It is an arithmetic number, because the mean of its divisors is an integer number (128129820).

Almost surely, 2^22445443440 is an apocalyptic number.

22445443440 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 22445443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46126735200).

22445443440 is an abundant number, since it is smaller than the sum of its proper divisors (69808026960).

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

22445443440 is an equidigital number, since it uses as much as digits as its factorization.

22445443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 22445443440 its reverse (4434454422), we get a palindrome (26879897862).

The spelling of 22445443440 in words is "twenty-two billion, four hundred forty-five million, four hundred forty-three thousand, four hundred forty".