312143322043400 has 96 divisors (see below), whose sum is σ = 733321326696840. Its totient is φ = 123552222044160.

The previous prime is 312143322043381. The next prime is 312143322043409. The reversal of 312143322043400 is 4340223341213.

It can be written as a sum of positive squares in 12 ways, for example, as 41067052256164 + 271076269787236 = 6408358^2 + 16464394^2 .

It is not an unprimeable number, because it can be changed into a prime (312143322043409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133026734 + ... + 135352866.

Almost surely, 2^{312143322043400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312143322043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366660663348420).

312143322043400 is an abundant number, since it is smaller than the sum of its proper divisors (421178004653440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312143322043400 is a wasteful number, since it uses less digits than its factorization.

312143322043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333163 (or 2333154 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 312143322043400 its reverse (4340223341213), we get a palindrome (316483545384613).

The spelling of 312143322043400 in words is "three hundred twelve trillion, one hundred forty-three billion, three hundred twenty-two million, forty-three thousand, four hundred".