4781018880 has 432 divisors, whose sum is σ = 18682241760. Its totient is φ = 1118208000.

The previous prime is 4781018873. The next prime is 4781018903. The reversal of 4781018880 is 888101874.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3674230 + ... + 3675530.

It is an arithmetic number, because the mean of its divisors is an integer number (43245930).

Almost surely, 2^4781018880 is an apocalyptic number.

4781018880 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 4781018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341120880).

4781018880 is an abundant number, since it is smaller than the sum of its proper divisors (13901222880).

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

4781018880 is a wasteful number, since it uses less digits than its factorization.

4781018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The square root of 4781018880 is about 69144.9121772528. The cubic root of 4781018880 is about 1684.6388798394.

The spelling of 4781018880 in words is "four billion, seven hundred eighty-one million, eighteen thousand, eight hundred eighty".