4451632000 has 64 divisors (see below), whose sum is σ = 11067909840. Its totient is φ = 1780646400.

The previous prime is 4451631997. The next prime is 4451632007. The reversal of 4451632000 is 2361544.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4451632007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123114 + ... + 155113.

Almost surely, 2^4451632000 is an apocalyptic number.

4451632000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4451632000 is an abundant number, since it is smaller than the sum of its proper divisors (6616277840).

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

4451632000 is an equidigital number, since it uses as much as digits as its factorization.

4451632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278256 (or 278234 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4451632000 is about 66720.5515564732. The cubic root of 4451632000 is about 1645.0272073548.

Adding to 4451632000 its reverse (2361544), we get a palindrome (4453993544).

The spelling of 4451632000 in words is "four billion, four hundred fifty-one million, six hundred thirty-two thousand".