4666804531200 has 1404 divisors, whose sum is σ = 20591733651840. Its totient is φ = 1003786076160.

The previous prime is 4666804531111. The next prime is 4666804531253. The reversal of 4666804531200 is 21354086664.

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 767689761 + ... + 767695839.

It is an arithmetic number, because the mean of its divisors is an integer number (14666476960).

Almost surely, 2^{4666804531200} is an apocalyptic number.

4666804531200 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 4666804531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295866825920).

4666804531200 is an abundant number, since it is smaller than the sum of its proper divisors (15924929120640).

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

4666804531200 is a wasteful number, since it uses less digits than its factorization.

4666804531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4666804531200 in words is "four trillion, six hundred sixty-six billion, eight hundred four million, five hundred thirty-one thousand, two hundred".