22042122333440 has 576 divisors, whose sum is σ = 62960854521600. Its totient is φ = 7306503782400.

The previous prime is 22042122333377. The next prime is 22042122333457. The reversal of 22042122333440 is 4433322124022.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 22042122333397 and 22042122333406.

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, 800673596 + ... + 800701124.

It is an arithmetic number, because the mean of its divisors is an integer number (109307039100).

Almost surely, 2^{22042122333440} is an apocalyptic number.

22042122333440 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 22042122333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31480427260800).

22042122333440 is an abundant number, since it is smaller than the sum of its proper divisors (40918732188160).

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

22042122333440 is a wasteful number, since it uses less digits than its factorization.

22042122333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27694 (or 27680 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 22042122333440 its reverse (4433322124022), we get a palindrome (26475444457462).

The spelling of 22042122333440 in words is "twenty-two trillion, forty-two billion, one hundred twenty-two million, three hundred thirty-three thousand, four hundred forty".