4000434113 has 8 divisors (see below), whose sum is σ = 4339608168. Its totient is φ = 3665752704.

The previous prime is 4000434103. The next prime is 4000434131. The reversal of 4000434113 is 3114340004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 607721104 + 3392713009 = 24652^2 + 58247^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4000434113 - 2⁶ = 4000434049 is a prime.

It is a super-4 number, since 4×4000434113⁴ (a number of 40 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000434103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121306 + ... + 1124867.

It is an arithmetic number, because the mean of its divisors is an integer number (542451021).

Almost surely, 2^4000434113 is an apocalyptic number.

It is an amenable number.

4000434113 is a deficient number, since it is larger than the sum of its proper divisors (339174055).

4000434113 is a wasteful number, since it uses less digits than its factorization.

4000434113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246323.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4000434113 is about 63248.9850748611. The cubic root of 4000434113 is about 1587.4584758436.

Adding to 4000434113 its reverse (3114340004), we get a palindrome (7114774117).

The spelling of 4000434113 in words is "four billion, four hundred thirty-four thousand, one hundred thirteen".