4412806594560 has 2856 divisors, whose sum is σ = 20577953014920. Its totient is φ = 898948399104.

The previous prime is 4412806594523. The next prime is 4412806594577. The reversal of 4412806594560 is 654956082144.

It is a happy number.

4412806594560 is a `hidden beast` number, since 4 + 4 + 1 + 28 + 0 + 6 + 59 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84276412416 + 4328530182144 = 290304^2 + 2080512^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4412806594497 and 4412806594506.

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 152165744626 + ... + 152165744654.

Almost surely, 2^{4412806594560} is an apocalyptic number.

4412806594560 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 4412806594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10288976507460).

4412806594560 is an abundant number, since it is smaller than the sum of its proper divisors (16165146420360).

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

4412806594560 is an frugal number, since it uses more digits than its factorization.

4412806594560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4412806594560 in words is "four trillion, four hundred twelve billion, eight hundred six million, five hundred ninety-four thousand, five hundred sixty".