4359394480896 has 2592 divisors, whose sum is σ = 17986598246400. Its totient is φ = 1028372889600.

The previous prime is 4359394480849. The next prime is 4359394480897. The reversal of 4359394480896 is 6980844939534.

4359394480896 is a `hidden beast` number, since 4 + 3 + 5 + 93 + 9 + 448 + 0 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4359394480897) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 106326694636 + ... + 106326694676.

Almost surely, 2^{4359394480896} 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 4359394480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993299123200).

4359394480896 is an abundant number, since it is smaller than the sum of its proper divisors (13627203765504).

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

4359394480896 is a wasteful number, since it uses less digits than its factorization.

4359394480896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 4359394480896 in words is "four trillion, three hundred fifty-nine billion, three hundred ninety-four million, four hundred eighty thousand, eight hundred ninety-six".