33400340033329 has 2 divisors, whose sum is σ = 33400340033330. Its totient is φ = 33400340033328.

The previous prime is 33400340033311. The next prime is 33400340033339. The reversal of 33400340033329 is 92333004300433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24365596567104 + 9034743466225 = 4936152^2 + 3005785^2 .

It is a cyclic number.

It is not a de Polignac number, because 33400340033329 - 2⁵ = 33400340033297 is a prime.

It is a super-2 number, since 2×33400340033329² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33400340033339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16700170016664 + 16700170016665.

It is an arithmetic number, because the mean of its divisors is an integer number (16700170016665).

Almost surely, 2^{33400340033329} is an apocalyptic number.

It is an amenable number.

33400340033329 is a deficient number, since it is larger than the sum of its proper divisors (1).

33400340033329 is an equidigital number, since it uses as much as digits as its factorization.

33400340033329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 37.

The spelling of 33400340033329 in words is "thirty-three trillion, four hundred billion, three hundred forty million, thirty-three thousand, three hundred twenty-nine".