4000431121 has 8 divisors (see below), whose sum is σ = 4032000104. Its totient is φ = 3968939520.

The previous prime is 4000431091. The next prime is 4000431173. The reversal of 4000431121 is 1211340004.

It can be written as a sum of positive squares in 4 ways, for example, as 964972096 + 3035459025 = 31064^2 + 55095^2 .

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 4000431121 - 2⁵ = 4000431089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4000431095 and 4000431104.

It is not an unprimeable number, because it can be changed into a prime (4000431181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86731 + ... + 124591.

It is an arithmetic number, because the mean of its divisors is an integer number (504000013).

Almost surely, 2^4000431121 is an apocalyptic number.

It is an amenable number.

4000431121 is a deficient number, since it is larger than the sum of its proper divisors (31568983).

4000431121 is a wasteful number, since it uses less digits than its factorization.

4000431121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38691.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4000431121 is about 63248.9614223032. The cubic root of 4000431121 is about 1587.4580800802.

Adding to 4000431121 its reverse (1211340004), we get a palindrome (5211771125).

The spelling of 4000431121 in words is "four billion, four hundred thirty-one thousand, one hundred twenty-one".