4283442843904 has 243 divisors, whose sum is σ = 10575305884773. Its totient is φ = 1726185775104.

The previous prime is 4283442843899. The next prime is 4283442843917. The reversal of 4283442843904 is 4093482443824.

The square root of 4283442843904 is 2069648.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3334860345600 + 948582498304 = 1826160^2 + 973952^2 .

It is a super-3 number, since 3×4283442843904³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3940609249 + ... + 3940610335.

Almost surely, 2^{4283442843904} is an apocalyptic number.

4283442843904 is the 2069648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4283442843904

4283442843904 is an abundant number, since it is smaller than the sum of its proper divisors (6291863040869).

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

4283442843904 is an frugal number, since it uses more digits than its factorization.

4283442843904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 55.

The spelling of 4283442843904 in words is "four trillion, two hundred eighty-three billion, four hundred forty-two million, eight hundred forty-three thousand, nine hundred four".