4450675138560 has 2688 divisors, whose sum is σ = 19785169797120. Its totient is φ = 903138508800.

The previous prime is 4450675138549. The next prime is 4450675138607. The reversal of 4450675138560 is 658315760544.

It is a happy number.

4450675138560 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 6 + 75 + 1 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a junction number, because it is equal to n+sod(n) for n = 4450675138497 and 4450675138506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75435171811 + ... + 75435171869.

It is an arithmetic number, because the mean of its divisors is an integer number (7360554240).

Almost surely, 2^{4450675138560} is an apocalyptic number.

4450675138560 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 4450675138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9892584898560).

4450675138560 is an abundant number, since it is smaller than the sum of its proper divisors (15334494658560).

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

4450675138560 is a wasteful number, since it uses less digits than its factorization.

4450675138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 4450675138560 in words is "four trillion, four hundred fifty billion, six hundred seventy-five million, one hundred thirty-eight thousand, five hundred sixty".