340014311311311 has 96 divisors (see below), whose sum is σ = 614302325564928. Its totient is φ = 176437964102400.

The previous prime is 340014311311307. The next prime is 340014311311327. The reversal of 340014311311311 is 113113113410043.

340014311311311 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 1 + 4 + 31 + 1 + 311 + 311 = 666.

It is not a de Polignac number, because 340014311311311 - 2² = 340014311311307 is a prime.

It is a super-2 number, since 2×340014311311311² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340014311311711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37446136 + ... + 45631586.

It is an arithmetic number, because the mean of its divisors is an integer number (6398982557968).

Almost surely, 2^{340014311311311} is an apocalyptic number.

340014311311311 is a deficient number, since it is larger than the sum of its proper divisors (274288014253617).

340014311311311 is a wasteful number, since it uses less digits than its factorization.

340014311311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186301 (or 8186298 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 340014311311311 its reverse (113113113410043), we get a palindrome (453127424721354).

The spelling of 340014311311311 in words is "three hundred forty trillion, fourteen billion, three hundred eleven million, three hundred eleven thousand, three hundred eleven".