344215122112240 has 80 divisors (see below), whose sum is σ = 811749756833280. Its totient is φ = 135717075083520.

The previous prime is 344215122112237. The next prime is 344215122112241. The reversal of 344215122112240 is 42211221512443.

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

It is a junction number, because it is equal to n+sod(n) for n = 344215122112196 and 344215122112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344215122112241) 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, 19305871 + ... + 32575249.

It is an arithmetic number, because the mean of its divisors is an integer number (10146871960416).

Almost surely, 2^{344215122112240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344215122112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405874878416640).

344215122112240 is an abundant number, since it is smaller than the sum of its proper divisors (467534634721040).

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

344215122112240 is a wasteful number, since it uses less digits than its factorization.

344215122112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13274030 (or 13274024 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 344215122112240 its reverse (42211221512443), we get a palindrome (386426343624683).

The spelling of 344215122112240 in words is "three hundred forty-four trillion, two hundred fifteen billion, one hundred twenty-two million, one hundred twelve thousand, two hundred forty".