414042304311 has 12 divisors (see below), whose sum is σ = 598067448888. Its totient is φ = 276025275504.

The previous prime is 414042304309. The next prime is 414042304327. The reversal of 414042304311 is 113403240414.

414042304311 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 42 + 304 + 311 = 666.

414042304311 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 414042304311 - 2¹ = 414042304309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414042304301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969516 + ... + 1329678.

It is an arithmetic number, because the mean of its divisors is an integer number (49838954074).

Almost surely, 2^414042304311 is an apocalyptic number.

414042304311 is a deficient number, since it is larger than the sum of its proper divisors (184025144577).

414042304311 is a wasteful number, since it uses less digits than its factorization.

414042304311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487902 (or 487899 counting only the distinct ones).

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

Adding to 414042304311 its reverse (113403240414), we get a palindrome (527445544725).

The spelling of 414042304311 in words is "four hundred fourteen billion, forty-two million, three hundred four thousand, three hundred eleven".