34131410407 has 2 divisors, whose sum is σ = 34131410408. Its totient is φ = 34131410406.

The previous prime is 34131410393. The next prime is 34131410447. The reversal of 34131410407 is 70401413143.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34131410407 - 2²³ = 34123021799 is a prime.

It is a super-4 number, since 4×34131410407⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34131410447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17065705203 + 17065705204.

It is an arithmetic number, because the mean of its divisors is an integer number (17065705204).

Almost surely, 2^34131410407 is an apocalyptic number.

34131410407 is a deficient number, since it is larger than the sum of its proper divisors (1).

34131410407 is an equidigital number, since it uses as much as digits as its factorization.

34131410407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 34131410407 in words is "thirty-four billion, one hundred thirty-one million, four hundred ten thousand, four hundred seven".