340114414101 has 32 divisors (see below), whose sum is σ = 566696964096. Its totient is φ = 176272824000.

The previous prime is 340114414093. The next prime is 340114414117. The reversal of 340114414101 is 101414411043.

It is not a de Polignac number, because 340114414101 - 2³ = 340114414093 is a prime.

It is a super-3 number, since 3×340114414101³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340114414121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1608510 + ... + 1807631.

It is an arithmetic number, because the mean of its divisors is an integer number (17709280128).

Almost surely, 2^340114414101 is an apocalyptic number.

It is an amenable number.

340114414101 is a deficient number, since it is larger than the sum of its proper divisors (226582549995).

340114414101 is a wasteful number, since it uses less digits than its factorization.

340114414101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416593.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 340114414101 its reverse (101414411043), we get a palindrome (441528825144).

The spelling of 340114414101 in words is "three hundred forty billion, one hundred fourteen million, four hundred fourteen thousand, one hundred one".