313414044240 has 320 divisors, whose sum is σ = 1091038740480. Its totient is φ = 73773342720.

The previous prime is 313414044217. The next prime is 313414044263. The reversal of 313414044240 is 42440414313.

It is an interprime number because it is at equal distance from previous prime (313414044217) and next prime (313414044263).

It is a super-3 number, since 3×313414044240³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313414044198 and 313414044207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15748216 + ... + 15768104.

It is an arithmetic number, because the mean of its divisors is an integer number (3409496064).

Almost surely, 2^313414044240 is an apocalyptic number.

313414044240 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 313414044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545519370240).

313414044240 is an abundant number, since it is smaller than the sum of its proper divisors (777624696240).

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

313414044240 is a wasteful number, since it uses less digits than its factorization.

313414044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20090 (or 20084 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 313414044240 its reverse (42440414313), we get a palindrome (355854458553).

The spelling of 313414044240 in words is "three hundred thirteen billion, four hundred fourteen million, forty-four thousand, two hundred forty".