4428391564800 has 1680 divisors, whose sum is σ = 19415329815552. Its totient is φ = 979552051200.

The previous prime is 4428391564789. The next prime is 4428391564813. The reversal of 4428391564800 is 84651938244.

4428391564800 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 3 + 9 + 156 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-3 number, since 3×4428391564800³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 142851340785 + ... + 142851340815.

Almost surely, 2^{4428391564800} is an apocalyptic number.

4428391564800 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 4428391564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707664907776).

4428391564800 is an abundant number, since it is smaller than the sum of its proper divisors (14986938250752).

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

4428391564800 is an frugal number, since it uses more digits than its factorization.

4428391564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4428391564800 in words is "four trillion, four hundred twenty-eight billion, three hundred ninety-one million, five hundred sixty-four thousand, eight hundred".