4283814828384 has 2592 divisors, whose sum is σ = 17567119140480. Its totient is φ = 980382154752.

The previous prime is 4283814828341. The next prime is 4283814828407. The reversal of 4283814828384 is 4838284183824.

4283814828384 is a `hidden beast` number, since 4 + 28 + 381 + 4 + 82 + 83 + 84 = 666.

4283814828384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 51612226807 + ... + 51612226889.

It is an arithmetic number, because the mean of its divisors is an integer number (6777437940).

Almost surely, 2^{4283814828384} 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 4283814828384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783559570240).

4283814828384 is an abundant number, since it is smaller than the sum of its proper divisors (13283304312096).

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

4283814828384 is a wasteful number, since it uses less digits than its factorization.

4283814828384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 63.

The spelling of 4283814828384 in words is "four trillion, two hundred eighty-three billion, eight hundred fourteen million, eight hundred twenty-eight thousand, three hundred eighty-four".