4991333328000 has 384 divisors, whose sum is σ = 17961306480000. Its totient is φ = 1328335718400.

The previous prime is 4991333327993. The next prime is 4991333328011. The reversal of 4991333328000 is 8233331994.

4991333328000 is a `hidden beast` number, since 499 + 133 + 3 + 3 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 71821269 + ... + 71890731.

It is an arithmetic number, because the mean of its divisors is an integer number (46774235625).

Almost surely, 2^{4991333328000} is an apocalyptic number.

4991333328000 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 4991333328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980653240000).

4991333328000 is an abundant number, since it is smaller than the sum of its proper divisors (12969973152000).

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

4991333328000 is a wasteful number, since it uses less digits than its factorization.

4991333328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69997 (or 69972 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

Adding to 4991333328000 its reverse (8233331994), we get a palindrome (4999566659994).

The spelling of 4991333328000 in words is "four trillion, nine hundred ninety-one billion, three hundred thirty-three million, three hundred twenty-eight thousand".