313976940480 has 672 divisors, whose sum is σ = 1250951869440. Its totient is φ = 70801735680.

The previous prime is 313976940469. The next prime is 313976940491. The reversal of 313976940480 is 84049679313.

It is a happy number.

313976940480 is a `hidden beast` number, since 3 + 1 + 3 + 9 + 76 + 94 + 0 + 480 = 666.

313976940480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313976940469) and next prime (313976940491).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×313976940480³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 602642620 + ... + 602643140.

It is an arithmetic number, because the mean of its divisors is an integer number (1861535520).

Almost surely, 2^313976940480 is an apocalyptic number.

313976940480 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 313976940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625475934720).

313976940480 is an abundant number, since it is smaller than the sum of its proper divisors (936974928960).

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

313976940480 is a wasteful number, since it uses less digits than its factorization.

313976940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 313976940480 in words is "three hundred thirteen billion, nine hundred seventy-six million, nine hundred forty thousand, four hundred eighty".