4131412141314 has 16 divisors (see below), whose sum is σ = 8268487647840. Its totient is φ = 1376193486240.

The previous prime is 4131412141313. The next prime is 4131412141321.

4131412141314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4131412141313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235964067 + ... + 235981574.

It is an arithmetic number, because the mean of its divisors is an integer number (516780477990).

Almost surely, 2^{4131412141314} is an apocalyptic number.

4131412141314 is an abundant number, since it is smaller than the sum of its proper divisors (4137075506526).

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

4131412141314 is a wasteful number, since it uses less digits than its factorization.

4131412141314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471947105.

The product of its digits is 4608, while the sum is 30.

The spelling of 4131412141314 in words is "four trillion, one hundred thirty-one billion, four hundred twelve million, one hundred forty-one thousand, three hundred fourteen".