313044424124040 has 320 divisors, whose sum is σ = 1202728511698560. Its totient is φ = 71538706068480.

The previous prime is 313044424123979. The next prime is 313044424124041. The reversal of 313044424124040 is 40421424440313.

313044424124040 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 4 + 4 + 4 + 241 + 2 + 404 + 0 = 666.

It is a super-2 number, since 2×313044424124040² (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 = 313044424123986 and 313044424124004.

It is not an unprimeable number, because it can be changed into a prime (313044424124041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112272244 + ... + 115026716.

It is an arithmetic number, because the mean of its divisors is an integer number (3758526599058).

Almost surely, 2^{313044424124040} is an apocalyptic number.

313044424124040 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 313044424124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601364255849280).

313044424124040 is an abundant number, since it is smaller than the sum of its proper divisors (889684087574520).

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

313044424124040 is a wasteful number, since it uses less digits than its factorization.

313044424124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759514 (or 2759501 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 313044424124040 its reverse (40421424440313), we get a palindrome (353465848564353).

The spelling of 313044424124040 in words is "three hundred thirteen trillion, forty-four billion, four hundred twenty-four million, one hundred twenty-four thousand, forty".