4144608000 has 864 divisors, whose sum is σ = 17061774912. Its totient is φ = 995328000.

The previous prime is 4144607977. The next prime is 4144608001. The reversal of 4144608000 is 8064414.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144608001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101087980 + ... + 101088020.

Almost surely, 2^4144608000 is an apocalyptic number.

4144608000 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 4144608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530887456).

4144608000 is an abundant number, since it is smaller than the sum of its proper divisors (12917166912).

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

4144608000 is an equidigital number, since it uses as much as digits as its factorization.

4144608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4144608000 is about 64378.6299947428. The cubic root of 4144608000 is about 1606.3042939653.

The spelling of 4144608000 in words is "four billion, one hundred forty-four million, six hundred eight thousand".