22412314413440 has 64 divisors (see below), whose sum is σ = 61233644748960. Its totient is φ = 7684222083072.

The previous prime is 22412314413431. The next prime is 22412314413473. The reversal of 22412314413440 is 4431441321422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 22412314413440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2501369897 + ... + 2501378856.

Almost surely, 2^{22412314413440} is an apocalyptic number.

22412314413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22412314413440 is an abundant number, since it is smaller than the sum of its proper divisors (38821330335520).

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

22412314413440 is an equidigital number, since it uses as much as digits as its factorization.

22412314413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002748779 (or 5002748767 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 22412314413440 its reverse (4431441321422), we get a palindrome (26843755734862).

The spelling of 22412314413440 in words is "twenty-two trillion, four hundred twelve billion, three hundred fourteen million, four hundred thirteen thousand, four hundred forty".