344112423431440 has 80 divisors (see below), whose sum is σ = 804642167908800. Its totient is φ = 136857090116096.

The previous prime is 344112423431423. The next prime is 344112423431573. The reversal of 344112423431440 is 44134324211443.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 344112423431393 and 344112423431402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102206391 + ... + 105519529.

It is an arithmetic number, because the mean of its divisors is an integer number (10058027098860).

Almost surely, 2^{344112423431440} 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 344112423431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402321083954400).

344112423431440 is an abundant number, since it is smaller than the sum of its proper divisors (460529744477360).

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

344112423431440 is a wasteful number, since it uses less digits than its factorization.

344112423431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320584 (or 3320578 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 344112423431440 its reverse (44134324211443), we get a palindrome (388246747642883).

The spelling of 344112423431440 in words is "three hundred forty-four trillion, one hundred twelve billion, four hundred twenty-three million, four hundred thirty-one thousand, four hundred forty".