313234423304040 has 768 divisors, whose sum is σ = 1233650658240000. Its totient is φ = 67332691722240.

The previous prime is 313234423303937. The next prime is 313234423304071. The reversal of 313234423304040 is 40403324432313.

313234423304040 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 344 + 2 + 3 + 304 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×313234423304040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313234423303986 and 313234423304004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4235092660 + ... + 4235166620.

It is an arithmetic number, because the mean of its divisors is an integer number (1606315961250).

Almost surely, 2^{313234423304040} is an apocalyptic number.

313234423304040 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 313234423304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616825329120000).

313234423304040 is an abundant number, since it is smaller than the sum of its proper divisors (920416234935960).

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

313234423304040 is a wasteful number, since it uses less digits than its factorization.

313234423304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74650 (or 74643 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 313234423304040 its reverse (40403324432313), we get a palindrome (353637747736353).

The spelling of 313234423304040 in words is "three hundred thirteen trillion, two hundred thirty-four billion, four hundred twenty-three million, three hundred four thousand, forty".