4666358400 has 192 divisors, whose sum is σ = 16767453600. Its totient is φ = 1131212800.

The previous prime is 4666358399. The next prime is 4666358413. The reversal of 4666358400 is 48536664.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83506 + ... + 127694.

Almost surely, 2^4666358400 is an apocalyptic number.

4666358400 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 4666358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8383726800).

4666358400 is an abundant number, since it is smaller than the sum of its proper divisors (12101095200).

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

4666358400 is a wasteful number, since it uses less digits than its factorization.

4666358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44227 (or 44210 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 4666358400 is about 68310.7487881666. The cubic root of 4666358400 is about 1671.0625148293.

The spelling of 4666358400 in words is "four billion, six hundred sixty-six million, three hundred fifty-eight thousand, four hundred".