4288416228096 has 576 divisors, whose sum is σ = 15350875094016. Its totient is φ = 1026411724800.

The previous prime is 4288416228077. The next prime is 4288416228127. The reversal of 4288416228096 is 6908226148824.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474325336 + ... + 474334376.

It is an arithmetic number, because the mean of its divisors is an integer number (26650824816).

Almost surely, 2^{4288416228096} 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 4288416228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675437547008).

4288416228096 is an abundant number, since it is smaller than the sum of its proper divisors (11062458865920).

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

4288416228096 is a wasteful number, since it uses less digits than its factorization.

4288416228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9708 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 4288416228096 in words is "four trillion, two hundred eighty-eight billion, four hundred sixteen million, two hundred twenty-eight thousand, ninety-six".