313322141004040 has 256 divisors, whose sum is σ = 860623485235200. Its totient is φ = 100343151820800.

The previous prime is 313322141004007. The next prime is 313322141004091. The reversal of 313322141004040 is 40400141223313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 809589780 + ... + 809976700.

It is an arithmetic number, because the mean of its divisors is an integer number (3361810489200).

Almost surely, 2^{313322141004040} 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 313322141004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430311742617600).

313322141004040 is an abundant number, since it is smaller than the sum of its proper divisors (547301344231160).

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

313322141004040 is a wasteful number, since it uses less digits than its factorization.

313322141004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390216 (or 390212 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 313322141004040 its reverse (40400141223313), we get a palindrome (353722282227353).

The spelling of 313322141004040 in words is "three hundred thirteen trillion, three hundred twenty-two billion, one hundred forty-one million, four thousand, forty".