4871558832000 has 1536 divisors, whose sum is σ = 19241701839360. Its totient is φ = 1086898176000.

The previous prime is 4871558831939. The next prime is 4871558832037. The reversal of 4871558832000 is 2388551784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29886863919 + ... + 29886864081.

It is an arithmetic number, because the mean of its divisors is an integer number (12527149635).

Almost surely, 2^{4871558832000} is an apocalyptic number.

4871558832000 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 4871558832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9620850919680).

4871558832000 is an abundant number, since it is smaller than the sum of its proper divisors (14370143007360).

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

4871558832000 is a wasteful number, since it uses less digits than its factorization.

4871558832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 4871558832000 in words is "four trillion, eight hundred seventy-one billion, five hundred fifty-eight million, eight hundred thirty-two thousand".