4447113065010 has 576 divisors, whose sum is σ = 15071549036544. Its totient is φ = 899140435200.

The previous prime is 4447113064879. The next prime is 4447113065027. The reversal of 4447113065010 is 105603117444.

4447113065010 is a `hidden beast` number, since 4 + 4 + 471 + 130 + 6 + 50 + 1 + 0 = 666.

It is a super-2 number, since 2×4447113065010² (a number of 26 digits) contains 22 as substring.

It is a Curzon 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 287 ways as a sum of consecutive naturals, for example, 565283097 + ... + 565290963.

It is an arithmetic number, because the mean of its divisors is an integer number (26165883744).

Almost surely, 2^{4447113065010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4447113065010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535774518272).

4447113065010 is an abundant number, since it is smaller than the sum of its proper divisors (10624435971534).

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

4447113065010 is a wasteful number, since it uses less digits than its factorization.

4447113065010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 4447113065010 in words is "four trillion, four hundred forty-seven billion, one hundred thirteen million, sixty-five thousand, ten".