4314306006405 has 12 divisors (see below), whose sum is σ = 7478130411180. Its totient is φ = 2300963203392.

The previous prime is 4314306006377. The next prime is 4314306006427. The reversal of 4314306006405 is 5046006034134.

4314306006405 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 3 + 0 + 6 + 0 + 0 + 640 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2994304924836 + 1320001081569 = 1730406^2 + 1148913^2 .

It is not a de Polignac number, because 4314306006405 - 2¹⁶ = 4314305940869 is a prime.

It is a super-2 number, since 2×4314306006405² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4314306006405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47936733360 + ... + 47936733449.

It is an arithmetic number, because the mean of its divisors is an integer number (623177534265).

Almost surely, 2^{4314306006405} is an apocalyptic number.

4314306006405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4314306006405 is a deficient number, since it is larger than the sum of its proper divisors (3163824404775).

4314306006405 is a wasteful number, since it uses less digits than its factorization.

4314306006405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95873466820 (or 95873466817 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 4314306006405 in words is "four trillion, three hundred fourteen billion, three hundred six million, six thousand, four hundred five".