4991189829120 has 2520 divisors, whose sum is σ = 21264695941104. Its totient is φ = 1120042598400.

The previous prime is 4991189829077. The next prime is 4991189829137. The reversal of 4991189829120 is 219289811994.

4991189829120 is a `hidden beast` number, since 499 + 1 + 18 + 9 + 8 + 2 + 9 + 120 = 666.

It is a super-3 number, since 3×4991189829120³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 161006123505 + ... + 161006123535.

Almost surely, 2^{4991189829120} is an apocalyptic number.

4991189829120 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 4991189829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10632347970552).

4991189829120 is an abundant number, since it is smaller than the sum of its proper divisors (16273506111984).

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

4991189829120 is an equidigital number, since it uses as much as digits as its factorization.

4991189829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 4991189829120 in words is "four trillion, nine hundred ninety-one billion, one hundred eighty-nine million, eight hundred twenty-nine thousand, one hundred twenty".