4492793410560 has 1584 divisors, whose sum is σ = 19608932725200. Its totient is φ = 942746370048.

The previous prime is 4492793410529. The next prime is 4492793410613. The reversal of 4492793410560 is 650143972944.

4492793410560 is a `hidden beast` number, since 4 + 4 + 9 + 2 + 79 + 3 + 4 + 1 + 0 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1921927504896 + 2570865905664 = 1386336^2 + 1603392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4492793410497 and 4492793410506.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 7895945956 + ... + 7895946524.

Almost surely, 2^{4492793410560} is an apocalyptic number.

4492793410560 is a gapful number since it is divisible by the number (40) 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 4492793410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9804466362600).

4492793410560 is an abundant number, since it is smaller than the sum of its proper divisors (15116139314640).

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

4492793410560 is a wasteful number, since it uses less digits than its factorization.

4492793410560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4492793410560 in words is "four trillion, four hundred ninety-two billion, seven hundred ninety-three million, four hundred ten thousand, five hundred sixty".