34044434102431 has 2 divisors, whose sum is σ = 34044434102432. Its totient is φ = 34044434102430.

The previous prime is 34044434102411. The next prime is 34044434102513. The reversal of 34044434102431 is 13420143444043.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34044434102431 - 2¹⁵ = 34044434069663 is a prime.

It is a super-2 number, since 2×34044434102431² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34044434102411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17022217051215 + 17022217051216.

It is an arithmetic number, because the mean of its divisors is an integer number (17022217051216).

Almost surely, 2^{34044434102431} is an apocalyptic number.

34044434102431 is a deficient number, since it is larger than the sum of its proper divisors (1).

34044434102431 is an equidigital number, since it uses as much as digits as its factorization.

34044434102431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 34044434102431 its reverse (13420143444043), we get a palindrome (47464577546474).

The spelling of 34044434102431 in words is "thirty-four trillion, forty-four billion, four hundred thirty-four million, one hundred two thousand, four hundred thirty-one".