4014034220313 has 18 divisors (see below), whose sum is σ = 6278361218766. Its totient is φ = 2470174903872.

The previous prime is 4014034220311. The next prime is 4014034220321. The reversal of 4014034220313 is 3130224304104.

4014034220313 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 0 + 342 + 2 + 0 + 313 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 67085144064 + 3946949076249 = 259008^2 + 1986693^2 .

It is not a de Polignac number, because 4014034220313 - 2¹ = 4014034220311 is a prime.

It is a super-2 number, since 2×4014034220313² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014034220311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1319536356 + ... + 1319539397.

It is an arithmetic number, because the mean of its divisors is an integer number (348797845487).

Almost surely, 2^{4014034220313} is an apocalyptic number.

It is an amenable number.

4014034220313 is a deficient number, since it is larger than the sum of its proper divisors (2264326998453).

4014034220313 is a wasteful number, since it uses less digits than its factorization.

4014034220313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639075785 (or 2639075769 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4014034220313 its reverse (3130224304104), we get a palindrome (7144258524417).

The spelling of 4014034220313 in words is "four trillion, fourteen billion, thirty-four million, two hundred twenty thousand, three hundred thirteen".