344410220434014 has 24 divisors (see below), whose sum is σ = 852825307741680. Its totient is φ = 98402920123968.

The previous prime is 344410220434013. The next prime is 344410220434037. The reversal of 344410220434014 is 410434022014443.

344410220434014 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 102 + 204 + 340 + 1 + 4 = 666.

It is a super-2 number, since 2×344410220434014² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 344410220434014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344410220434013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1366707223819 + ... + 1366707224070.

It is an arithmetic number, because the mean of its divisors is an integer number (35534387822570).

Almost surely, 2^{344410220434014} is an apocalyptic number.

344410220434014 is an abundant number, since it is smaller than the sum of its proper divisors (508415087307666).

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

344410220434014 is a wasteful number, since it uses less digits than its factorization.

344410220434014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733414447904 (or 2733414447901 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 344410220434014 its reverse (410434022014443), we get a palindrome (754844242448457).

The spelling of 344410220434014 in words is "three hundred forty-four trillion, four hundred ten billion, two hundred twenty million, four hundred thirty-four thousand, fourteen".