4284823077216 has 960 divisors, whose sum is σ = 15115494240000. Its totient is φ = 1176114401280.

The previous prime is 4284823077193. The next prime is 4284823077229. The reversal of 4284823077216 is 6127703284824.

4284823077216 is a `hidden beast` number, since 4 + 284 + 82 + 3 + 0 + 77 + 216 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1680980710 + ... + 1680983258.

It is an arithmetic number, because the mean of its divisors is an integer number (15745306500).

Almost surely, 2^{4284823077216} 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 4284823077216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557747120000).

4284823077216 is an abundant number, since it is smaller than the sum of its proper divisors (10830671162784).

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

4284823077216 is a wasteful number, since it uses less digits than its factorization.

4284823077216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 4284823077216 in words is "four trillion, two hundred eighty-four billion, eight hundred twenty-three million, seventy-seven thousand, two hundred sixteen".