313374952440 has 256 divisors, whose sum is σ = 1148968281600. Its totient is φ = 75969336960.

The previous prime is 313374952417. The next prime is 313374952441. The reversal of 313374952440 is 44259473313.

313374952440 is a `hidden beast` number, since 3 + 13 + 3 + 74 + 9 + 524 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313374952441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1328479 + ... + 1546481.

It is an arithmetic number, because the mean of its divisors is an integer number (4488157350).

Almost surely, 2^313374952440 is an apocalyptic number.

313374952440 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 313374952440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574484140800).

313374952440 is an abundant number, since it is smaller than the sum of its proper divisors (835593329160).

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

313374952440 is a wasteful number, since it uses less digits than its factorization.

313374952440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218056 (or 218024 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 313374952440 in words is "three hundred thirteen billion, three hundred seventy-four million, nine hundred fifty-two thousand, four hundred forty".