4801461120 has 384 divisors, whose sum is σ = 17721194400. Its totient is φ = 1194393600.

The previous prime is 4801461073. The next prime is 4801461121. The reversal of 4801461120 is 211641084.

It is a happy number.

4801461120 is a `hidden beast` number, since 4 + 80 + 1 + 461 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801461121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7988820 + ... + 7989420.

Almost surely, 2^4801461120 is an apocalyptic number.

4801461120 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 4801461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8860597200).

4801461120 is an abundant number, since it is smaller than the sum of its proper divisors (12919733280).

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

4801461120 is a wasteful number, since it uses less digits than its factorization.

4801461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4801461120 is about 69292.5762257401. The cubic root of 4801461120 is about 1687.0364738416.

The spelling of 4801461120 in words is "four billion, eight hundred one million, four hundred sixty-one thousand, one hundred twenty".