4052184101856 has 288 divisors, whose sum is σ = 13123819957248. Its totient is φ = 1173984261120.

The previous prime is 4052184101851. The next prime is 4052184101863. The reversal of 4052184101856 is 6581014812504.

4052184101856 is a `hidden beast` number, since 4 + 0 + 5 + 218 + 410 + 18 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052184101851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166627810 + ... + 166652126.

It is an arithmetic number, because the mean of its divisors is an integer number (45568819296).

Almost surely, 2^{4052184101856} is an apocalyptic number.

4052184101856 is a gapful number since it is divisible by the number (46) 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 4052184101856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561909978624).

4052184101856 is an abundant number, since it is smaller than the sum of its proper divisors (9071635855392).

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

4052184101856 is a wasteful number, since it uses less digits than its factorization.

4052184101856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26654 (or 26643 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 4052184101856 in words is "four trillion, fifty-two billion, one hundred eighty-four million, one hundred one thousand, eight hundred fifty-six".