4442672000 has 384 divisors, whose sum is σ = 12579390720. Its totient is φ = 1557504000.

The previous prime is 4442671997. The next prime is 4442672021. The reversal of 4442672000 is 2762444.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 83823974 + ... + 83824026.

It is an arithmetic number, because the mean of its divisors is an integer number (32758830).

Almost surely, 2^4442672000 is an apocalyptic number.

4442672000 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 4442672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289695360).

4442672000 is an abundant number, since it is smaller than the sum of its proper divisors (8136718720).

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

4442672000 is a wasteful number, since it uses less digits than its factorization.

4442672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 4442672000 is about 66653.3720077237. The cubic root of 4442672000 is about 1643.9227926320.

The spelling of 4442672000 in words is "four billion, four hundred forty-two million, six hundred seventy-two thousand".