4198482288 has 960 divisors, whose sum is σ = 17573875200. Its totient is φ = 940584960.

The previous prime is 4198482283. The next prime is 4198482313. The reversal of 4198482288 is 8822848914.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2359296) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198482283) 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, 57513420 + ... + 57513492.

It is an arithmetic number, because the mean of its divisors is an integer number (18306120).

Almost surely, 2^4198482288 is an apocalyptic number.

4198482288 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 4198482288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786937600).

4198482288 is an abundant number, since it is smaller than the sum of its proper divisors (13375392912).

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

4198482288 is a wasteful number, since it uses less digits than its factorization.

4198482288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 4198482288 is about 64795.6965237661. The cubic root of 4198482288 is about 1613.2342797521.

The spelling of 4198482288 in words is "four billion, one hundred ninety-eight million, four hundred eighty-two thousand, two hundred eighty-eight".