8214340434128 has 10 divisors (see below), whose sum is σ = 15915284591154. Its totient is φ = 4107170217056.

The previous prime is 8214340434109. The next prime is 8214340434137.

8214340434128 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 5188591511104 + 3025748923024 = 2277848^2 + 1739468^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256698138551 + ... + 256698138582.

Almost surely, 2^{8214340434128} is an apocalyptic number.

It is an amenable number.

8214340434128 is a deficient number, since it is larger than the sum of its proper divisors (7700944157026).

8214340434128 is a wasteful number, since it uses less digits than its factorization.

8214340434128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513396277141 (or 513396277135 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

It can be divided in two parts, 8214340 and 434128, that added together give a palindrome (8648468).

The spelling of 8214340434128 in words is "eight trillion, two hundred fourteen billion, three hundred forty million, four hundred thirty-four thousand, one hundred twenty-eight".