4134456544314 has 64 divisors (see below), whose sum is σ = 8550257610240. Its totient is φ = 1332269752320.

The previous prime is 4134456544237. The next prime is 4134456544319.

4134456544314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4134456544319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4304394 + ... + 5176554.

It is an arithmetic number, because the mean of its divisors is an integer number (133597775160).

Almost surely, 2^{4134456544314} is an apocalyptic number.

4134456544314 is an abundant number, since it is smaller than the sum of its proper divisors (4415801065926).

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

4134456544314 is a wasteful number, since it uses less digits than its factorization.

4134456544314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872455.

The product of its digits is 5529600, while the sum is 48.

The spelling of 4134456544314 in words is "four trillion, one hundred thirty-four billion, four hundred fifty-six million, five hundred forty-four thousand, three hundred fourteen".