492441316416 has 504 divisors, whose sum is σ = 1693553336280. Its totient is φ = 136308178944.

The previous prime is 492441316387. The next prime is 492441316427. The reversal of 492441316416 is 614613144294.

492441316416 is a `hidden beast` number, since 49 + 2 + 441 + 3 + 164 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1186113600 + 491255202816 = 34440^2 + 700896^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×492441316416² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 280912596 + ... + 280914348.

Almost surely, 2^492441316416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492441316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846776668140).

492441316416 is an abundant number, since it is smaller than the sum of its proper divisors (1201112019864).

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

492441316416 is a wasteful number, since it uses less digits than its factorization.

492441316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2071 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 492441316416 in words is "four hundred ninety-two billion, four hundred forty-one million, three hundred sixteen thousand, four hundred sixteen".