4344010104434 has 192 divisors, whose sum is σ = 8920715086080. Its totient is φ = 1543620672000.

The previous prime is 4344010104409. The next prime is 4344010104437.

4344010104434 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4344010104434.

It is not an unprimeable number, because it can be changed into a prime (4344010104437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1252235252 + ... + 1252238720.

It is an arithmetic number, because the mean of its divisors is an integer number (46462057740).

Almost surely, 2^{4344010104434} is an apocalyptic number.

4344010104434 is an abundant number, since it is smaller than the sum of its proper divisors (4576704981646).

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

4344010104434 is a wasteful number, since it uses less digits than its factorization.

4344010104434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 4344010 and 104434, that added together give a palindrome (4448444).

The spelling of 4344010104434 in words is "four trillion, three hundred forty-four billion, ten million, one hundred four thousand, four hundred thirty-four".