340004013034009 has 2 divisors, whose sum is σ = 340004013034010. Its totient is φ = 340004013034008.

The previous prime is 340004013034001. The next prime is 340004013034013. The reversal of 340004013034009 is 900430310400043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337057287174400 + 2946725859609 = 18359120^2 + 1716603^2 .

It is a cyclic number.

It is not a de Polignac number, because 340004013034009 - 2³ = 340004013034001 is a prime.

It is a super-2 number, since 2×340004013034009² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (340004013034001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 170002006517004 + 170002006517005.

It is an arithmetic number, because the mean of its divisors is an integer number (170002006517005).

Almost surely, 2^{340004013034009} is an apocalyptic number.

It is an amenable number.

340004013034009 is a deficient number, since it is larger than the sum of its proper divisors (1).

340004013034009 is an equidigital number, since it uses as much as digits as its factorization.

340004013034009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 340004013034009 in words is "three hundred forty trillion, four billion, thirteen million, thirty-four thousand, nine".