4991205000 has 320 divisors, whose sum is σ = 16689657600. Its totient is φ = 1239840000.

The previous prime is 4991204989. The next prime is 4991205007. The reversal of 4991205000 is 5021994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4991205007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23654895 + ... + 23655105.

It is an arithmetic number, because the mean of its divisors is an integer number (52155180).

Almost surely, 2^4991205000 is an apocalyptic number.

4991205000 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 4991205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344828800).

4991205000 is an abundant number, since it is smaller than the sum of its proper divisors (11698452600).

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

4991205000 is a wasteful number, since it uses less digits than its factorization.

4991205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 4991205000 is about 70648.4607050996. The cubic root of 4991205000 is about 1708.9727423377.

Adding to 4991205000 its reverse (5021994), we get a palindrome (4996226994).

The spelling of 4991205000 in words is "four billion, nine hundred ninety-one million, two hundred five thousand".