4340004110344 has 128 divisors (see below), whose sum is σ = 10109690784000. Its totient is φ = 1739847029760.

The previous prime is 4340004110341. The next prime is 4340004110347. The reversal of 4340004110344 is 4430114000434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4340004110341) and next prime (4340004110347).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4340004110341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7318234 + ... + 7889014.

It is an arithmetic number, because the mean of its divisors is an integer number (78981959250).

Almost surely, 2^{4340004110344} 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 4340004110344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054845392000).

4340004110344 is an abundant number, since it is smaller than the sum of its proper divisors (5769686673656).

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

4340004110344 is a wasteful number, since it uses less digits than its factorization.

4340004110344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570988 (or 570970 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4340004110344 its reverse (4430114000434), we get a palindrome (8770118110778).

The spelling of 4340004110344 in words is "four trillion, three hundred forty billion, four million, one hundred ten thousand, three hundred forty-four".