4891104000 has 864 divisors, whose sum is σ = 19847370816. Its totient is φ = 1194393600.

The previous prime is 4891103977. The next prime is 4891104047. The reversal of 4891104000 is 4011984.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132191982 + ... + 132192018.

It is an arithmetic number, because the mean of its divisors is an integer number (22971494).

Almost surely, 2^4891104000 is an apocalyptic number.

4891104000 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 4891104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9923685408).

4891104000 is an abundant number, since it is smaller than the sum of its proper divisors (14956266816).

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

4891104000 is an equidigital number, since it uses as much as digits as its factorization.

4891104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

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

The square root of 4891104000 is about 69936.4282759707. The cubic root of 4891104000 is about 1697.4707486629.

Adding to 4891104000 its reverse (4011984), we get a palindrome (4895115984).

The spelling of 4891104000 in words is "four billion, eight hundred ninety-one million, one hundred four thousand".