313104430414440 has 640 divisors, whose sum is σ = 1209889384704000. Its totient is φ = 71140708615680.

The previous prime is 313104430414319. The next prime is 313104430414469. The reversal of 313104430414440 is 44414034401313.

313104430414440 is a `hidden beast` number, since 3 + 1 + 3 + 104 + 430 + 41 + 44 + 40 = 666.

It is a super-2 number, since 2×313104430414440² (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 = 313104430414395 and 313104430414404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4924000327 + ... + 4924063913.

It is an arithmetic number, because the mean of its divisors is an integer number (1890452163600).

Almost surely, 2^{313104430414440} is an apocalyptic number.

313104430414440 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 313104430414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604944692352000).

313104430414440 is an abundant number, since it is smaller than the sum of its proper divisors (896784954289560).

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

313104430414440 is a wasteful number, since it uses less digits than its factorization.

313104430414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64907 (or 64894 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 313104430414440 its reverse (44414034401313), we get a palindrome (357518464815753).

The spelling of 313104430414440 in words is "three hundred thirteen trillion, one hundred four billion, four hundred thirty million, four hundred fourteen thousand, four hundred forty".