4183028656128 has 2304 divisors, whose sum is σ = 16443410780160. Its totient is φ = 1034249306112.

The previous prime is 4183028656123. The next prime is 4183028656139. The reversal of 4183028656128 is 8216568203814.

4183028656128 is a `hidden beast` number, since 4 + 1 + 8 + 30 + 28 + 6 + 561 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (4183028656123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50397935575 + ... + 50397935657.

It is an arithmetic number, because the mean of its divisors is an integer number (7136897040).

Almost surely, 2^{4183028656128} is an apocalyptic number.

4183028656128 is a gapful number since it is divisible by the number (48) 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 4183028656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221705390080).

4183028656128 is an abundant number, since it is smaller than the sum of its proper divisors (12260382124032).

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

4183028656128 is a wasteful number, since it uses less digits than its factorization.

4183028656128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 4183028656128 in words is "four trillion, one hundred eighty-three billion, twenty-eight million, six hundred fifty-six thousand, one hundred twenty-eight".