414434041344393 has 96 divisors (see below), whose sum is σ = 661271369472000. Its totient is φ = 230086668825216.

The previous prime is 414434041344319. The next prime is 414434041344409. The reversal of 414434041344393 is 393443140434414.

It is not a de Polignac number, because 414434041344393 - 2¹⁶ = 414434041278857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414434041344593) 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, 10706933946 + ... + 10706972652.

It is an arithmetic number, because the mean of its divisors is an integer number (6888243432000).

Almost surely, 2^{414434041344393} is an apocalyptic number.

It is an amenable number.

414434041344393 is a deficient number, since it is larger than the sum of its proper divisors (246837328127607).

414434041344393 is a wasteful number, since it uses less digits than its factorization.

414434041344393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50059 (or 50052 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 51.

The spelling of 414434041344393 in words is "four hundred fourteen trillion, four hundred thirty-four billion, forty-one million, three hundred forty-four thousand, three hundred ninety-three".