313104000240240 has 320 divisors, whose sum is σ = 1086270933496320. Its totient is φ = 73948192174080.

The previous prime is 313104000240233. The next prime is 313104000240257. The reversal of 313104000240240 is 42042000401313.

It is a super-2 number, since 2×313104000240240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 313104000240240.

It is a congruent number.

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, 40614114 + ... + 47704446.

It is an arithmetic number, because the mean of its divisors is an integer number (3394596667176).

Almost surely, 2^{313104000240240} is an apocalyptic number.

313104000240240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313104000240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543135466748160).

313104000240240 is an abundant number, since it is smaller than the sum of its proper divisors (773166933256080).

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

313104000240240 is a wasteful number, since it uses less digits than its factorization.

313104000240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090792 (or 7090786 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 313104000240240 its reverse (42042000401313), we get a palindrome (355146000641553).

The spelling of 313104000240240 in words is "three hundred thirteen trillion, one hundred four billion, two hundred forty thousand, two hundred forty".