4189981824 has 512 divisors, whose sum is σ = 15082291200. Its totient is φ = 1119744000.

The previous prime is 4189981811. The next prime is 4189981837. The reversal of 4189981824 is 4281899814.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4189981811) and next prime (4189981837).

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.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27748149 + ... + 27748299.

It is an arithmetic number, because the mean of its divisors is an integer number (29457600).

Almost surely, 2^4189981824 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 4189981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541145600).

4189981824 is an abundant number, since it is smaller than the sum of its proper divisors (10892309376).

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

4189981824 is a wasteful number, since it uses less digits than its factorization.

4189981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 4189981824 is about 64730.0689324521. The cubic root of 4189981824 is about 1612.1447983438.

The spelling of 4189981824 in words is "four billion, one hundred eighty-nine million, nine hundred eighty-one thousand, eight hundred twenty-four".