4666024400 has 120 divisors (see below), whose sum is σ = 11439744000. Its totient is φ = 1828569600.

The previous prime is 4666024369. The next prime is 4666024403. The reversal of 4666024400 is 44206664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666024403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4707905 + ... + 4708895.

It is an arithmetic number, because the mean of its divisors is an integer number (95331200).

Almost surely, 2^4666024400 is an apocalyptic number.

4666024400 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 4666024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719872000).

4666024400 is an abundant number, since it is smaller than the sum of its proper divisors (6773719600).

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

4666024400 is a wasteful number, since it uses less digits than its factorization.

4666024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 4666024400 is about 68308.3040339899. The cubic root of 4666024400 is about 1671.0226444672.

The spelling of 4666024400 in words is "four billion, six hundred sixty-six million, twenty-four thousand, four hundred".