4481632000 has 144 divisors (see below), whose sum is σ = 11427448032. Its totient is φ = 1750425600.

The previous prime is 4481631991. The next prime is 4481632009. The reversal of 4481632000 is 2361844.

It is an interprime number because it is at equal distance from previous prime (4481631991) and next prime (4481632009).

It is a self number, because there is not a number n which added to its sum of digits gives 4481632000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481632009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374372 + ... + 1377628.

It is an arithmetic number, because the mean of its divisors is an integer number (79357278).

Almost surely, 2^4481632000 is an apocalyptic number.

4481632000 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 4481632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713724016).

4481632000 is an abundant number, since it is smaller than the sum of its proper divisors (6945816032).

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

4481632000 is an equidigital number, since it uses as much as digits as its factorization.

4481632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4481632000 is about 66944.9923444614. The cubic root of 4481632000 is about 1648.7142723357.

Adding to 4481632000 its reverse (2361844), we get a palindrome (4483993844).

The spelling of 4481632000 in words is "four billion, four hundred eighty-one million, six hundred thirty-two thousand".