40200312321 has 12 divisors (see below), whose sum is σ = 62533819348. Its totient is φ = 24738653664.

The previous prime is 40200312281. The next prime is 40200312331. The reversal of 40200312321 is 12321300204.

40200312321 is a `hidden beast` number, since 402 + 0 + 0 + 31 + 232 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3313268721 + 36887043600 = 57561^2 + 192060^2 .

It is not a de Polignac number, because 40200312321 - 2¹⁴ = 40200295937 is a prime.

It is a super-2 number, since 2×40200312321² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40200312294 and 40200312303.

It is not an unprimeable number, because it can be changed into a prime (40200312331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171796090 + ... + 171796323.

Almost surely, 2^40200312321 is an apocalyptic number.

It is an amenable number.

40200312321 is a deficient number, since it is larger than the sum of its proper divisors (22333507027).

40200312321 is a wasteful number, since it uses less digits than its factorization.

40200312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343592432 (or 343592429 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40200312321 its reverse (12321300204), we get a palindrome (52521612525).

The spelling of 40200312321 in words is "forty billion, two hundred million, three hundred twelve thousand, three hundred twenty-one".