4011984000 has 512 divisors, whose sum is σ = 15237331200. Its totient is φ = 1036800000.

The previous prime is 4011983977. The next prime is 4011984013. The reversal of 4011984000 is 4891104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 15983875 + ... + 15984125.

Almost surely, 2^4011984000 is an apocalyptic number.

4011984000 is a gapful number since it is divisible by the number (40) 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 4011984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600).

4011984000 is an abundant number, since it is smaller than the sum of its proper divisors (11225347200).

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

4011984000 is a wasteful number, since it uses less digits than its factorization.

4011984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4011984000 is about 63340.2241865309. The cubic root of 4011984000 is about 1588.9847559445.

The spelling of 4011984000 in words is "four billion, eleven million, nine hundred eighty-four thousand".