4188201888 has 96 divisors (see below), whose sum is σ = 11852894592. Its totient is φ = 1287244800.

The previous prime is 4188201887. The next prime is 4188201943. The reversal of 4188201888 is 8881028814.

4188201888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4188201887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1884618 + ... + 1886838.

It is an arithmetic number, because the mean of its divisors is an integer number (123467652).

Almost surely, 2^4188201888 is an apocalyptic number.

4188201888 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 4188201888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926447296).

4188201888 is an abundant number, since it is smaller than the sum of its proper divisors (7664692704).

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

4188201888 is a wasteful number, since it uses less digits than its factorization.

4188201888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 48.

The square root of 4188201888 is about 64716.3185603137. The cubic root of 4188201888 is about 1611.9164822388.

The spelling of 4188201888 in words is "four billion, one hundred eighty-eight million, two hundred one thousand, eight hundred eighty-eight".