344412403122320 has 80 divisors (see below), whose sum is σ = 862359722164080. Its totient is φ = 127167059116032.

The previous prime is 344412403122317. The next prime is 344412403122323. The reversal of 344412403122320 is 23221304214443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (344412403122317) and next prime (344412403122323).

It can be written as a sum of positive squares in 8 ways, for example, as 29738437263616 + 314673965858704 = 5453296^2 + 17739052^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (344412403122323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264017912 + ... + 265319208.

It is an arithmetic number, because the mean of its divisors is an integer number (10779496527051).

Almost surely, 2^{344412403122320} is an apocalyptic number.

It is an amenable number.

344412403122320 is an abundant number, since it is smaller than the sum of its proper divisors (517947319041760).

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

344412403122320 is a wasteful number, since it uses less digits than its factorization.

344412403122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555812 (or 1555806 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 344412403122320 its reverse (23221304214443), we get a palindrome (367633707336763).

The spelling of 344412403122320 in words is "three hundred forty-four trillion, four hundred twelve billion, four hundred three million, one hundred twenty-two thousand, three hundred twenty".