4401152000 has 240 divisors, whose sum is σ = 12595110528. Its totient is φ = 1504051200.

The previous prime is 4401151999. The next prime is 4401152009. The reversal of 4401152000 is 2511044.

It is a self number, because there is not a number n which added to its sum of digits gives 4401152000.

It is not an unprimeable number, because it can be changed into a prime (4401152009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14335847 + ... + 14336153.

Almost surely, 2^4401152000 is an apocalyptic number.

4401152000 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 4401152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297555264).

4401152000 is an abundant number, since it is smaller than the sum of its proper divisors (8193958528).

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

4401152000 is an frugal number, since it uses more digits than its factorization.

4401152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4401152000 is about 66341.1787655299. The cubic root of 4401152000 is about 1638.7855375259.

Adding to 4401152000 its reverse (2511044), we get a palindrome (4403663044).

The spelling of 4401152000 in words is "four billion, four hundred one million, one hundred fifty-two thousand".