34010414013012 has 48 divisors (see below), whose sum is σ = 81918663278592. Its totient is φ = 10970953043040.

The previous prime is 34010414012977. The next prime is 34010414013013. The reversal of 34010414013012 is 21031041401043.

It is a super-2 number, since 2×34010414013012² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010414013013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28833253 + ... + 29989619.

It is an arithmetic number, because the mean of its divisors is an integer number (1706638818304).

Almost surely, 2^{34010414013012} is an apocalyptic number.

It is an amenable number.

34010414013012 is an abundant number, since it is smaller than the sum of its proper divisors (47908249265580).

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

34010414013012 is a wasteful number, since it uses less digits than its factorization.

34010414013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235468 (or 1235466 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34010414013012 its reverse (21031041401043), we get a palindrome (55041455414055).

The spelling of 34010414013012 in words is "thirty-four trillion, ten billion, four hundred fourteen million, thirteen thousand, twelve".