4638285943200 has 5184 divisors, whose sum is σ = 23806806266880. Its totient is φ = 836075520000.

The previous prime is 4638285943189. The next prime is 4638285943243. The reversal of 4638285943200 is 23495828364.

4638285943200 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 28 + 594 + 3 + 20 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 45923623150 + ... + 45923623250.

It is an arithmetic number, because the mean of its divisors is an integer number (4592362320).

Almost surely, 2^{4638285943200} is an apocalyptic number.

4638285943200 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 4638285943200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903403133440).

4638285943200 is an abundant number, since it is smaller than the sum of its proper divisors (19168520323680).

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

4638285943200 is a wasteful number, since it uses less digits than its factorization.

4638285943200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4638285943200 in words is "four trillion, six hundred thirty-eight billion, two hundred eighty-five million, nine hundred forty-three thousand, two hundred".