313040040202240 has 416 divisors, whose sum is σ = 818213668272000. Its totient is φ = 114273067991040.

The previous prime is 313040040202223. The next prime is 313040040202273. The reversal of 313040040202240 is 42202040040313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8918756211 + ... + 8918791309.

It is an arithmetic number, because the mean of its divisors is an integer number (1966859779500).

Almost surely, 2^{313040040202240} 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 313040040202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409106834136000).

313040040202240 is an abundant number, since it is smaller than the sum of its proper divisors (505173628069760).

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

313040040202240 is a wasteful number, since it uses less digits than its factorization.

313040040202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35521 (or 35499 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 313040040202240 its reverse (42202040040313), we get a palindrome (355242080242553).

The spelling of 313040040202240 in words is "three hundred thirteen trillion, forty billion, forty million, two hundred two thousand, two hundred forty".