34041333314043 has 12 divisors (see below), whose sum is σ = 53640888858648. Its totient is φ = 20631111099360.

The previous prime is 34041333313969. The next prime is 34041333314063.

34041333314043 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 1 + 333 + 314 + 0 + 4 + 3 = 666.

34041333314043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34041333314043 - 2¹³ = 34041333305851 is a prime.

It is a super-2 number, since 2×34041333314043² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34041333313989 and 34041333314007.

It is not an unprimeable number, because it can be changed into a prime (34041333314063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171925925730 + ... + 171925925927.

It is an arithmetic number, because the mean of its divisors is an integer number (4470074071554).

Almost surely, 2^{34041333314043} is an apocalyptic number.

34041333314043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34041333314043 is a deficient number, since it is larger than the sum of its proper divisors (19599555544605).

34041333314043 is a wasteful number, since it uses less digits than its factorization.

34041333314043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343851851674 (or 343851851671 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 3404133 and 3314043, that added together give a palindrome (6718176).

The spelling of 34041333314043 in words is "thirty-four trillion, forty-one billion, three hundred thirty-three million, three hundred fourteen thousand, forty-three".