4781442960 has 480 divisors, whose sum is σ = 19518250752. Its totient is φ = 1065000960.

The previous prime is 4781442949. The next prime is 4781442961. The reversal of 4781442960 is 692441874.

4781442960 is a `hidden beast` number, since 47 + 81 + 442 + 96 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4781442961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5578852 + ... + 5579708.

Almost surely, 2^4781442960 is an apocalyptic number.

4781442960 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 4781442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759125376).

4781442960 is an abundant number, since it is smaller than the sum of its proper divisors (14736807792).

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

4781442960 is a wasteful number, since it uses less digits than its factorization.

4781442960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4781442960 is about 69147.9787123239. The cubic root of 4781442960 is about 1684.6886879487.

The spelling of 4781442960 in words is "four billion, seven hundred eighty-one million, four hundred forty-two thousand, nine hundred sixty".