400234304313 has 12 divisors (see below), whose sum is σ = 578127551508. Its totient is φ = 266817638400.

The previous prime is 400234304297. The next prime is 400234304329. The reversal of 400234304313 is 313403432004.

400234304313 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 343 + 0 + 4 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (400234304297) and next prime (400234304329).

It can be written as a sum of positive squares in 2 ways, for example, as 334681919289 + 65552385024 = 578517^2 + 256032^2 .

It is not a de Polignac number, because 400234304313 - 2⁴ = 400234304297 is a prime.

It is a super-2 number, since 2×400234304313² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400234304413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80881 + ... + 898337.

It is an arithmetic number, because the mean of its divisors is an integer number (48177295959).

Almost surely, 2^400234304313 is an apocalyptic number.

It is an amenable number.

400234304313 is a deficient number, since it is larger than the sum of its proper divisors (177893247195).

400234304313 is a wasteful number, since it uses less digits than its factorization.

400234304313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871864 (or 871861 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 400234304313 its reverse (313403432004), we get a palindrome (713637736317).

The spelling of 400234304313 in words is "four hundred billion, two hundred thirty-four million, three hundred four thousand, three hundred thirteen".