8400408008429 has 2 divisors, whose sum is σ = 8400408008430. Its totient is φ = 8400408008428.

The previous prime is 8400408008383. The next prime is 8400408008477. The reversal of 8400408008429 is 9248008040048.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5463205022500 + 2937202985929 = 2337350^2 + 1713827^2 .

It is a cyclic number.

It is not a de Polignac number, because 8400408008429 - 2¹² = 8400408004333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8400408001429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4200204004214 + 4200204004215.

It is an arithmetic number, because the mean of its divisors is an integer number (4200204004215).

Almost surely, 2^{8400408008429} is an apocalyptic number.

It is an amenable number.

8400408008429 is a deficient number, since it is larger than the sum of its proper divisors (1).

8400408008429 is an equidigital number, since it uses as much as digits as its factorization.

8400408008429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 589824, while the sum is 47.

The spelling of 8400408008429 in words is "eight trillion, four hundred billion, four hundred eight million, eight thousand, four hundred twenty-nine".