4911984000 has 768 divisors, whose sum is σ = 22042575360. Its totient is φ = 1018368000.

The previous prime is 4911983981. The next prime is 4911984001. The reversal of 4911984000 is 4891194.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4911984001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11087779 + ... + 11088221.

It is an arithmetic number, because the mean of its divisors is an integer number (28701270).

Almost surely, 2^4911984000 is an apocalyptic number.

4911984000 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 4911984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021287680).

4911984000 is an abundant number, since it is smaller than the sum of its proper divisors (17130591360).

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

4911984000 is a wasteful number, since it uses less digits than its factorization.

4911984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 4911984000 is about 70085.5477256189. The cubic root of 4911984000 is about 1699.8828062233.

The spelling of 4911984000 in words is "four billion, nine hundred eleven million, nine hundred eighty-four thousand".