4000512321 has 20 divisors (see below), whose sum is σ = 6435773652. Its totient is φ = 2461853088.

The previous prime is 4000512289. The next prime is 4000512331. The reversal of 4000512321 is 1232150004.

It can be written as a sum of positive squares in 2 ways, for example, as 514790721 + 3485721600 = 22689^2 + 59040^2 .

It is not a de Polignac number, because 4000512321 - 2⁵ = 4000512289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4000512294 and 4000512303.

It is not an unprimeable number, because it can be changed into a prime (4000512331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1898526 + ... + 1900631.

Almost surely, 2^4000512321 is an apocalyptic number.

It is an amenable number.

4000512321 is a deficient number, since it is larger than the sum of its proper divisors (2435261331).

4000512321 is a wasteful number, since it uses less digits than its factorization.

4000512321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799182 (or 3799173 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4000512321 is about 63249.6033268194. The cubic root of 4000512321 is about 1587.4688206495.

Adding to 4000512321 its reverse (1232150004), we get a palindrome (5232662325).

It can be divided in two parts, 40005 and 12321, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 4000512321 in words is "four billion, five hundred twelve thousand, three hundred twenty-one".