34414400291 has 2 divisors, whose sum is σ = 34414400292. Its totient is φ = 34414400290.

The previous prime is 34414400249. The next prime is 34414400327. The reversal of 34414400291 is 19200441443.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34414400291 - 2²⁶ = 34347291427 is a prime.

It is not a weakly prime, because it can be changed into another prime (34414400191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17207200145 + 17207200146.

It is an arithmetic number, because the mean of its divisors is an integer number (17207200146).

Almost surely, 2^34414400291 is an apocalyptic number.

34414400291 is a deficient number, since it is larger than the sum of its proper divisors (1).

34414400291 is an equidigital number, since it uses as much as digits as its factorization.

34414400291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 34414400291 in words is "thirty-four billion, four hundred fourteen million, four hundred thousand, two hundred ninety-one".