4659494809200 has 2880 divisors, whose sum is σ = 20615784076800. Its totient is φ = 887633510400.

The previous prime is 4659494809199. The next prime is 4659494809231. The reversal of 4659494809200 is 29084949564.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 42747658746 + ... + 42747658854.

It is an arithmetic number, because the mean of its divisors is an integer number (7158258360).

Almost surely, 2^{4659494809200} is an apocalyptic number.

4659494809200 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 4659494809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10307892038400).

4659494809200 is an abundant number, since it is smaller than the sum of its proper divisors (15956289267600).

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

4659494809200 is a wasteful number, since it uses less digits than its factorization.

4659494809200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 4659494809200 in words is "four trillion, six hundred fifty-nine billion, four hundred ninety-four million, eight hundred nine thousand, two hundred".