340312142020329 has 48 divisors (see below), whose sum is σ = 519818228280000. Its totient is φ = 213945702558336.

The previous prime is 340312142020313. The next prime is 340312142020379. The reversal of 340312142020329 is 923020241213043.

340312142020329 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 1 + 2 + 1 + 420 + 203 + 29 = 666.

It is not a de Polignac number, because 340312142020329 - 2⁴ = 340312142020313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 340312142020293 and 340312142020302.

It is not an unprimeable number, because it can be changed into a prime (340312142020379) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27829627 + ... + 38145935.

It is an arithmetic number, because the mean of its divisors is an integer number (10829546422500).

Almost surely, 2^{340312142020329} is an apocalyptic number.

It is an amenable number.

340312142020329 is a deficient number, since it is larger than the sum of its proper divisors (179506086259671).

340312142020329 is a wasteful number, since it uses less digits than its factorization.

340312142020329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10317222 (or 10317219 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 340312142020329 in words is "three hundred forty trillion, three hundred twelve billion, one hundred forty-two million, twenty thousand, three hundred twenty-nine".