4861438560 has 432 divisors, whose sum is σ = 18837563472. Its totient is φ = 1175731200.

The previous prime is 4861438559. The next prime is 4861438601. The reversal of 4861438560 is 658341684.

4861438560 is a `hidden beast` number, since 4 + 86 + 1 + 4 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11547150 + ... + 11547570.

It is an arithmetic number, because the mean of its divisors is an integer number (43605471).

Almost surely, 2^4861438560 is an apocalyptic number.

4861438560 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 4861438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418781736).

4861438560 is an abundant number, since it is smaller than the sum of its proper divisors (13976124912).

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

4861438560 is an equidigital number, since it uses as much as digits as its factorization.

4861438560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4861438560 is about 69724.0170959763. The cubic root of 4861438560 is about 1694.0319634973.

The spelling of 4861438560 in words is "four billion, eight hundred sixty-one million, four hundred thirty-eight thousand, five hundred sixty".