342314000400114 has 48 divisors (see below), whose sum is σ = 752131686982104. Its totient is φ = 112506141888000.

The previous prime is 342314000400103. The next prime is 342314000400187. The reversal of 342314000400114 is 411004000413243.

342314000400114 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 140 + 0 + 0 + 400 + 114 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 290673004248225 + 51640996151889 = 17049135^2 + 7186167^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390208189 + ... + 391084464.

Almost surely, 2^{342314000400114} is an apocalyptic number.

342314000400114 is an abundant number, since it is smaller than the sum of its proper divisors (409817686581990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342314000400114 is a wasteful number, since it uses less digits than its factorization.

342314000400114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781293003 (or 781293000 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 342314000400114 its reverse (411004000413243), we get a palindrome (753318000813357).

The spelling of 342314000400114 in words is "three hundred forty-two trillion, three hundred fourteen billion, four hundred thousand, one hundred fourteen".