4188201280128 has 288 divisors, whose sum is σ = 12833467661820. Its totient is φ = 1310780620800.

The previous prime is 4188201280117. The next prime is 4188201280147. The reversal of 4188201280128 is 8210821028814.

4188201280128 is a `hidden beast` number, since 41 + 8 + 8 + 201 + 280 + 128 = 666.

4188201280128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 957094369344 + 3231106910784 = 978312^2 + 1797528^2 .

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

It is a super-5 number, since 5×4188201280128⁵ (a number of 64 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140147748 + ... + 140177628.

Almost surely, 2^{4188201280128} is an apocalyptic number.

4188201280128 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 4188201280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416733830910).

4188201280128 is an abundant number, since it is smaller than the sum of its proper divisors (8645266381692).

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

4188201280128 is a wasteful number, since it uses less digits than its factorization.

4188201280128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30356 (or 30324 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The spelling of 4188201280128 in words is "four trillion, one hundred eighty-eight billion, two hundred one million, two hundred eighty thousand, one hundred twenty-eight".