4198653984 has 144 divisors (see below), whose sum is σ = 12997581408. Its totient is φ = 1183085568.

The previous prime is 4198653947. The next prime is 4198653997. The reversal of 4198653984 is 4893568914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337279 + ... + 349505.

It is an arithmetic number, because the mean of its divisors is an integer number (90260982).

Almost surely, 2^4198653984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198653984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498790704).

4198653984 is an abundant number, since it is smaller than the sum of its proper divisors (8798927424).

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

4198653984 is a wasteful number, since it uses less digits than its factorization.

4198653984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12327 (or 12312 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 4198653984 is about 64797.0214130248. The cubic root of 4198653984 is about 1613.2562704048.

The spelling of 4198653984 in words is "four billion, one hundred ninety-eight million, six hundred fifty-three thousand, nine hundred eighty-four".