4121346431214 has 48 divisors (see below), whose sum is σ = 9055948262400. Its totient is φ = 1354344023760.

The previous prime is 4121346431203. The next prime is 4121346431219.

It is a happy number.

4121346431214 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 3 + 4 + 6 + 431 + 214 = 666.

4121346431214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121346431219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20972587 + ... + 21168185.

It is an arithmetic number, because the mean of its divisors is an integer number (188665588800).

Almost surely, 2^{4121346431214} is an apocalyptic number.

4121346431214 is an abundant number, since it is smaller than the sum of its proper divisors (4934601831186).

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

4121346431214 is a wasteful number, since it uses less digits than its factorization.

4121346431214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212165 (or 212162 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 4121346431214 in words is "four trillion, one hundred twenty-one billion, three hundred forty-six million, four hundred thirty-one thousand, two hundred fourteen".