22440412414009 has 16 divisors (see below), whose sum is σ = 23803712810640. Its totient is φ = 21117446784000.

The previous prime is 22440412413961. The next prime is 22440412414223. The reversal of 22440412414009 is 90041421404422.

It can be written as a sum of positive squares in 8 ways, for example, as 18293374009 + 22422119040000 = 135253^2 + 4735200^2 .

It is a cyclic number.

It is not a de Polignac number, because 22440412414009 - 2²⁹ = 22439875543097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22440418414009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8028612 + ... + 10456549.

It is an arithmetic number, because the mean of its divisors is an integer number (1487732050665).

Almost surely, 2^{22440412414009} is an apocalyptic number.

22440412414009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

22440412414009 is a deficient number, since it is larger than the sum of its proper divisors (1363300396631).

22440412414009 is a wasteful number, since it uses less digits than its factorization.

22440412414009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18486252.

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 22440412414009 in words is "twenty-two trillion, four hundred forty billion, four hundred twelve million, four hundred fourteen thousand, nine".