4808781120 has 448 divisors, whose sum is σ = 18729252864. Its totient is φ = 1028628480.

The previous prime is 4808781091. The next prime is 4808781137. The reversal of 4808781120 is 211878084.

It is a happy number.

It is a super-3 number, since 3×4808781120³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3156679 + ... + 3158201.

It is an arithmetic number, because the mean of its divisors is an integer number (41806368).

Almost surely, 2^4808781120 is an apocalyptic number.

4808781120 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 4808781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9364626432).

4808781120 is an abundant number, since it is smaller than the sum of its proper divisors (13920471744).

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

4808781120 is a wasteful number, since it uses less digits than its factorization.

4808781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 4808781120 is about 69345.3756208732. The cubic root of 4808781120 is about 1687.8933544478.

The spelling of 4808781120 in words is "four billion, eight hundred eight million, seven hundred eighty-one thousand, one hundred twenty".