313540532440000 has 280 divisors, whose sum is σ = 779720393667600. Its totient is φ = 125054899200000.

The previous prime is 313540532439931. The next prime is 313540532440013. The reversal of 313540532440000 is 44235045313.

It is a happy number.

It is a super-3 number, since 3×313540532440000³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49760436850 + ... + 49760443150.

It is an arithmetic number, because the mean of its divisors is an integer number (2784715691670).

Almost surely, 2^{313540532440000} 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 313540532440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389860196833800).

313540532440000 is an abundant number, since it is smaller than the sum of its proper divisors (466179861227600).

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

313540532440000 is an equidigital number, since it uses as much as digits as its factorization.

313540532440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 313540532440000 its reverse (44235045313), we get a palindrome (313584767485313).

The spelling of 313540532440000 in words is "three hundred thirteen trillion, five hundred forty billion, five hundred thirty-two million, four hundred forty thousand".