4891006120 has 512 divisors, whose sum is σ = 15885434880. Its totient is φ = 1305722880.

The previous prime is 4891006069. The next prime is 4891006123. The reversal of 4891006120 is 216001984.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4891006123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43283184 + ... + 43283296.

It is an arithmetic number, because the mean of its divisors is an integer number (31026240).

Almost surely, 2^4891006120 is an apocalyptic number.

4891006120 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 4891006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7942717440).

4891006120 is an abundant number, since it is smaller than the sum of its proper divisors (10994428760).

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

4891006120 is a wasteful number, since it uses less digits than its factorization.

4891006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 4891006120 is about 69935.7284940966. The cubic root of 4891006120 is about 1697.4594254152.

The spelling of 4891006120 in words is "four billion, eight hundred ninety-one million, six thousand, one hundred twenty".