316041820416 has 288 divisors, whose sum is σ = 1086217574400. Its totient is φ = 88766392320.

The previous prime is 316041820373. The next prime is 316041820427. The reversal of 316041820416 is 614028140613.

316041820416 is a `hidden beast` number, since 3 + 1 + 60 + 4 + 182 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799301 + ... + 2910011.

It is an arithmetic number, because the mean of its divisors is an integer number (3771588800).

Almost surely, 2^316041820416 is an apocalyptic number.

316041820416 is a gapful number since it is divisible by the number (36) 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 316041820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543108787200).

316041820416 is an abundant number, since it is smaller than the sum of its proper divisors (770175753984).

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

316041820416 is a wasteful number, since it uses less digits than its factorization.

316041820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110802 (or 110782 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 316041820416 in words is "three hundred sixteen billion, forty-one million, eight hundred twenty thousand, four hundred sixteen".