4430328569856 has 448 divisors, whose sum is σ = 15120046325760. Its totient is φ = 1255785431040.

The previous prime is 4430328569813. The next prime is 4430328569869. The reversal of 4430328569856 is 6589658230344.

4430328569856 is a `hidden beast` number, since 4 + 4 + 30 + 32 + 8 + 569 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4430328569856² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4430328569793 and 4430328569802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196621311 + ... + 196643841.

Almost surely, 2^{4430328569856} 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 4430328569856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560023162880).

4430328569856 is an abundant number, since it is smaller than the sum of its proper divisors (10689717755904).

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

4430328569856 is a wasteful number, since it uses less digits than its factorization.

4430328569856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22700 (or 22670 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 4430328569856 in words is "four trillion, four hundred thirty billion, three hundred twenty-eight million, five hundred sixty-nine thousand, eight hundred fifty-six".