22414400413440 has 288 divisors, whose sum is σ = 81852613280256. Its totient is φ = 5120783400960.

The previous prime is 22414400413373. The next prime is 22414400413477. The reversal of 22414400413440 is 4431400441422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54981555 + ... + 55387725.

Almost surely, 2^{22414400413440} is an apocalyptic number.

22414400413440 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 22414400413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40926306640128).

22414400413440 is an abundant number, since it is smaller than the sum of its proper divisors (59438212866816).

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

22414400413440 is a wasteful number, since it uses less digits than its factorization.

22414400413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408255 (or 408241 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 22414400413440 its reverse (4431400441422), we get a palindrome (26845800854862).

The spelling of 22414400413440 in words is "twenty-two trillion, four hundred fourteen billion, four hundred million, four hundred thirteen thousand, four hundred forty".