313320140414240 has 96 divisors (see below), whose sum is σ = 743119840197504. Its totient is φ = 124837627299840.

The previous prime is 313320140414231. The next prime is 313320140414251. The reversal of 313320140414240 is 42414041023313.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 313320140414197 and 313320140414206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50769860 + ... + 56605820.

It is an arithmetic number, because the mean of its divisors is an integer number (7740831668724).

Almost surely, 2^{313320140414240} 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 313320140414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371559920098752).

313320140414240 is an abundant number, since it is smaller than the sum of its proper divisors (429799699783264).

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

313320140414240 is a wasteful number, since it uses less digits than its factorization.

313320140414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837290 (or 5837282 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 313320140414240 its reverse (42414041023313), we get a palindrome (355734181437553).

The spelling of 313320140414240 in words is "three hundred thirteen trillion, three hundred twenty billion, one hundred forty million, four hundred fourteen thousand, two hundred forty".