4399521984 has 336 divisors, whose sum is σ = 15301837824. Its totient is φ = 1190246400.

The previous prime is 4399521979. The next prime is 4399522007. The reversal of 4399521984 is 4891259934.

4399521984 is a `hidden beast` number, since 4 + 39 + 9 + 521 + 9 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4399521984.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2552547 + ... + 2554269.

It is an arithmetic number, because the mean of its divisors is an integer number (45541184).

Almost surely, 2^4399521984 is an apocalyptic number.

4399521984 is a gapful number since it is divisible by the number (44) 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 4399521984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650918912).

4399521984 is an abundant number, since it is smaller than the sum of its proper divisors (10902315840).

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

4399521984 is a wasteful number, since it uses less digits than its factorization.

4399521984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1783 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 4399521984 is about 66328.8925280680. The cubic root of 4399521984 is about 1638.5831983437.

The spelling of 4399521984 in words is "four billion, three hundred ninety-nine million, five hundred twenty-one thousand, nine hundred eighty-four".