4049673984 has 216 divisors, whose sum is σ = 12456953600. Its totient is φ = 1261578240.

The previous prime is 4049673949. The next prime is 4049674001. The reversal of 4049673984 is 4893769404.

It is a happy number.

4049673984 is a `hidden beast` number, since 4 + 0 + 496 + 73 + 9 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4049673984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3457719 + ... + 3458889.

Almost surely, 2^4049673984 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 4049673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228476800).

4049673984 is an abundant number, since it is smaller than the sum of its proper divisors (8407279616).

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

4049673984 is a wasteful number, since it uses less digits than its factorization.

4049673984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4049673984 is about 63637.0488316358. The cubic root of 4049673984 is about 1593.9450817995.

The spelling of 4049673984 in words is "four billion, forty-nine million, six hundred seventy-three thousand, nine hundred eighty-four".