4000234414311 has 24 divisors (see below), whose sum is σ = 5783779647360. Its totient is φ = 2664210010896.

The previous prime is 4000234414303. The next prime is 4000234414321. The reversal of 4000234414311 is 1134144320004.

4000234414311 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 2 + 344 + 1 + 4 + 311 = 666.

4000234414311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4000234414311 - 2³ = 4000234414303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000234414321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59293180 + ... + 59360606.

It is an arithmetic number, because the mean of its divisors is an integer number (240990818640).

Almost surely, 2^{4000234414311} is an apocalyptic number.

4000234414311 is a deficient number, since it is larger than the sum of its proper divisors (1783545233049).

4000234414311 is a wasteful number, since it uses less digits than its factorization.

4000234414311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73795 (or 73792 counting only the distinct ones).

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

Adding to 4000234414311 its reverse (1134144320004), we get a palindrome (5134378734315).

The spelling of 4000234414311 in words is "four trillion, two hundred thirty-four million, four hundred fourteen thousand, three hundred eleven".