344113132240000 has 160 divisors (see below), whose sum is σ = 857645569004400. Its totient is φ = 137484986496000.

The previous prime is 344113132239967. The next prime is 344113132240021. The reversal of 344113132240000 is 42231311443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 66216267 + ... + 71223733.

Almost surely, 2^{344113132240000} 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 344113132240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428822784502200).

344113132240000 is an abundant number, since it is smaller than the sum of its proper divisors (513532436764400).

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

344113132240000 is an frugal number, since it uses more digits than its factorization.

344113132240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008360 (or 5008333 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 344113132240000 its reverse (42231311443), we get a palindrome (344155363551443).

The spelling of 344113132240000 in words is "three hundred forty-four trillion, one hundred thirteen billion, one hundred thirty-two million, two hundred forty thousand".