4671285865200 has 960 divisors, whose sum is σ = 17724148915200. Its totient is φ = 1165205606400.

The previous prime is 4671285865187. The next prime is 4671285865217. The reversal of 4671285865200 is 25685821764.

4671285865200 is a `hidden beast` number, since 4 + 6 + 7 + 1 + 2 + 8 + 586 + 52 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6425427237 + ... + 6425427963.

It is an arithmetic number, because the mean of its divisors is an integer number (18462655120).

Almost surely, 2^{4671285865200} is an apocalyptic number.

4671285865200 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 4671285865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8862074457600).

4671285865200 is an abundant number, since it is smaller than the sum of its proper divisors (13052863050000).

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

4671285865200 is a wasteful number, since it uses less digits than its factorization.

4671285865200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 4671285865200 in words is "four trillion, six hundred seventy-one billion, two hundred eighty-five million, eight hundred sixty-five thousand, two hundred".