4386128218056 has 384 divisors, whose sum is σ = 13457808000000. Its totient is φ = 1280417808384.

The previous prime is 4386128218051. The next prime is 4386128218061. The reversal of 4386128218056 is 6508128216834.

4386128218056 is a `hidden beast` number, since 4 + 3 + 8 + 612 + 8 + 2 + 18 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4386128218051) and next prime (4386128218061).

It is a super-3 number, since 3×4386128218056³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4386128217993 and 4386128218011.

It is not an unprimeable number, because it can be changed into a prime (4386128218051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3511711320 + ... + 3511712568.

It is an arithmetic number, because the mean of its divisors is an integer number (35046375000).

Almost surely, 2^{4386128218056} is an apocalyptic number.

4386128218056 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 4386128218056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728904000000).

4386128218056 is an abundant number, since it is smaller than the sum of its proper divisors (9071679781944).

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

4386128218056 is a wasteful number, since it uses less digits than its factorization.

4386128218056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2486 counting only the distinct ones).

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

The spelling of 4386128218056 in words is "four trillion, three hundred eighty-six billion, one hundred twenty-eight million, two hundred eighteen thousand, fifty-six".