313357271040 has 384 divisors, whose sum is σ = 1185103483200. Its totient is φ = 75961466880.

The previous prime is 313357271027. The next prime is 313357271053. The reversal of 313357271040 is 40172753313.

313357271040 is a `hidden beast` number, since 3 + 1 + 33 + 572 + 7 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (313357271027) and next prime (313357271053).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 313357270986 and 313357271004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16210501 + ... + 16229819.

Almost surely, 2^313357271040 is an apocalyptic number.

313357271040 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 313357271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592551741600).

313357271040 is an abundant number, since it is smaller than the sum of its proper divisors (871746212160).

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

313357271040 is a wasteful number, since it uses less digits than its factorization.

313357271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19371 (or 19340 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 313357271040 in words is "three hundred thirteen billion, three hundred fifty-seven million, two hundred seventy-one thousand, forty".