316142682240 has 768 divisors, whose sum is σ = 1306920222720. Its totient is φ = 63562752000.

The previous prime is 316142682227. The next prime is 316142682259. The reversal of 316142682240 is 42286241613.

It is a super-2 number, since 2×316142682240² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50410305 + ... + 50416575.

It is an arithmetic number, because the mean of its divisors is an integer number (1701719040).

Almost surely, 2^316142682240 is an apocalyptic number.

316142682240 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 316142682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653460111360).

316142682240 is an abundant number, since it is smaller than the sum of its proper divisors (990777540480).

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

316142682240 is a wasteful number, since it uses less digits than its factorization.

316142682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 316142682240 in words is "three hundred sixteen billion, one hundred forty-two million, six hundred eighty-two thousand, two hundred forty".