34041314123102 has 256 divisors, whose sum is σ = 64012641638400. Its totient is φ = 13361144832000.

The previous prime is 34041314123057. The next prime is 34041314123119. The reversal of 34041314123102 is 20132141314043.

It is a super-2 number, since 2×34041314123102² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43254528353 + ... + 43254529139.

It is an arithmetic number, because the mean of its divisors is an integer number (250049381400).

Almost surely, 2^{34041314123102} is an apocalyptic number.

34041314123102 is a deficient number, since it is larger than the sum of its proper divisors (29971327515298).

34041314123102 is a wasteful number, since it uses less digits than its factorization.

34041314123102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 34041314123102 its reverse (20132141314043), we get a palindrome (54173455437145).

The spelling of 34041314123102 in words is "thirty-four trillion, forty-one billion, three hundred fourteen million, one hundred twenty-three thousand, one hundred two".