22324421130440 has 256 divisors, whose sum is σ = 60027816441600. Its totient is φ = 7364512972800.

The previous prime is 22324421130421. The next prime is 22324421130491. The reversal of 22324421130440 is 4403112442322.

It is a happy number.

It is a super-3 number, since 3×22324421130440³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22324421130397 and 22324421130406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766026520 + ... + 1766039160.

It is an arithmetic number, because the mean of its divisors is an integer number (234483657975).

Almost surely, 2^{22324421130440} is an apocalyptic number.

22324421130440 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 22324421130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30013908220800).

22324421130440 is an abundant number, since it is smaller than the sum of its proper divisors (37703395311160).

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

22324421130440 is a wasteful number, since it uses less digits than its factorization.

22324421130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17968 (or 17964 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 22324421130440 its reverse (4403112442322), we get a palindrome (26727533572762).

The spelling of 22324421130440 in words is "twenty-two trillion, three hundred twenty-four billion, four hundred twenty-one million, one hundred thirty thousand, four hundred forty".