4288449209616 has 320 divisors, whose sum is σ = 14706558720000. Its totient is φ = 1179233579520.

The previous prime is 4288449209609. The next prime is 4288449209699. The reversal of 4288449209616 is 6169029448824.

4288449209616 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 4 + 4 + 9 + 2 + 0 + 9 + 616 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3056485 + ... + 4233083.

It is an arithmetic number, because the mean of its divisors is an integer number (45957996000).

Almost surely, 2^{4288449209616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4288449209616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353279360000).

4288449209616 is an abundant number, since it is smaller than the sum of its proper divisors (10418109510384).

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

4288449209616 is a wasteful number, since it uses less digits than its factorization.

4288449209616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176699 (or 1176687 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 4288449209616 in words is "four trillion, two hundred eighty-eight billion, four hundred forty-nine million, two hundred nine thousand, six hundred sixteen".