4135334335314 has 128 divisors (see below), whose sum is σ = 10377703784448. Its totient is φ = 1069403662080.

The previous prime is 4135334335313. The next prime is 4135334335357.

4135334335314 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4135334335313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48080929 + ... + 48166859.

It is an arithmetic number, because the mean of its divisors is an integer number (81075810816).

Almost surely, 2^{4135334335314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135334335314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188851892224).

4135334335314 is an abundant number, since it is smaller than the sum of its proper divisors (6242369449134).

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

4135334335314 is a wasteful number, since it uses less digits than its factorization.

4135334335314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87672.

The product of its digits is 1166400, while the sum is 42.

The spelling of 4135334335314 in words is "four trillion, one hundred thirty-five billion, three hundred thirty-four million, three hundred thirty-five thousand, three hundred fourteen".