4871147420160 has 360 divisors, whose sum is σ = 19624468854276. Its totient is φ = 1113404866560.

The previous prime is 4871147420147. The next prime is 4871147420203. The reversal of 4871147420160 is 610247411784.

4871147420160 is a `hidden beast` number, since 4 + 8 + 7 + 11 + 474 + 2 + 0 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4859802614016 + 11344806144 = 2204496^2 + 106512^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1028401 + ... + 3286320.

Almost surely, 2^{4871147420160} is an apocalyptic number.

4871147420160 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 4871147420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812234427138).

4871147420160 is an abundant number, since it is smaller than the sum of its proper divisors (14753321434116).

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

4871147420160 is a wasteful number, since it uses less digits than its factorization.

4871147420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314764 (or 4314738 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 4871147420160 in words is "four trillion, eight hundred seventy-one billion, one hundred forty-seven million, four hundred twenty thousand, one hundred sixty".