34040100413 has 16 divisors (see below), whose sum is σ = 38221244160. Its totient is φ = 30052900800.

The previous prime is 34040100407. The next prime is 34040100439. The reversal of 34040100413 is 31400104043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34040100413 - 2¹² = 34040096317 is a prime.

It is a super-2 number, since 2×34040100413² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34040100403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268070 + ... + 374087.

It is an arithmetic number, because the mean of its divisors is an integer number (2388827760).

Almost surely, 2^34040100413 is an apocalyptic number.

It is an amenable number.

34040100413 is a deficient number, since it is larger than the sum of its proper divisors (4181143747).

34040100413 is a wasteful number, since it uses less digits than its factorization.

34040100413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642308.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34040100413 its reverse (31400104043), we get a palindrome (65440204456).

The spelling of 34040100413 in words is "thirty-four billion, forty million, one hundred thousand, four hundred thirteen".