312040544000 has 432 divisors, whose sum is σ = 820076755680. Its totient is φ = 118278144000.

The previous prime is 312040543999. The next prime is 312040544009. The reversal of 312040544000 is 445040213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312040544009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2244895931 + ... + 2244896069.

Almost surely, 2^312040544000 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 312040544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410038377840).

312040544000 is an abundant number, since it is smaller than the sum of its proper divisors (508036211680).

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

312040544000 is an equidigital number, since it uses as much as digits as its factorization.

312040544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 312040544000 its reverse (445040213), we get a palindrome (312485584213).

The spelling of 312040544000 in words is "three hundred twelve billion, forty million, five hundred forty-four thousand".