344112241244010 has 128 divisors (see below), whose sum is σ = 877668555582720. Its totient is φ = 86103920388096.

The previous prime is 344112241243943. The next prime is 344112241244041. The reversal of 344112241244010 is 10442142211443.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21867784 + ... + 34152956.

It is an arithmetic number, because the mean of its divisors is an integer number (6856785590490).

Almost surely, 2^{344112241244010} is an apocalyptic number.

344112241244010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344112241244010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438834277791360).

344112241244010 is an abundant number, since it is smaller than the sum of its proper divisors (533556314338710).

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

344112241244010 is a wasteful number, since it uses less digits than its factorization.

344112241244010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12285672.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 344112241244010 its reverse (10442142211443), we get a palindrome (354554383455453).

The spelling of 344112241244010 in words is "three hundred forty-four trillion, one hundred twelve billion, two hundred forty-one million, two hundred forty-four thousand, ten".