4408665289600 has 768 divisors, whose sum is σ = 13044625090560. Its totient is φ = 1451188224000.

The previous prime is 4408665289597. The next prime is 4408665289601. The reversal of 4408665289600 is 69825668044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4408665289601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9052700557 + ... + 9052701043.

It is an arithmetic number, because the mean of its divisors is an integer number (16985188920).

Almost surely, 2^{4408665289600} is an apocalyptic number.

4408665289600 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 4408665289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522312545280).

4408665289600 is an abundant number, since it is smaller than the sum of its proper divisors (8635959800960).

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

4408665289600 is a wasteful number, since it uses less digits than its factorization.

4408665289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 4408665289600 in words is "four trillion, four hundred eight billion, six hundred sixty-five million, two hundred eighty-nine thousand, six hundred".