1441104000 has 256 divisors, whose sum is σ = 5460998400. Its totient is φ = 329318400.

The previous prime is 1441103987. The next prime is 1441104019. The reversal of 1441104000 is 4011441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 333856 + ... + 338144.

It is an arithmetic number, because the mean of its divisors is an integer number (21332025).

Almost surely, 2^1441104000 is an apocalyptic number.

1441104000 is a gapful number since it is divisible by the number (10) 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 1441104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730499200).

1441104000 is an abundant number, since it is smaller than the sum of its proper divisors (4019894400).

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

1441104000 is an equidigital number, since it uses as much as digits as its factorization.

1441104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1441104000 is about 37961.8756122508. The cubic root of 1441104000 is about 1129.5317453215.

Adding to 1441104000 its reverse (4011441), we get a palindrome (1445115441).

The spelling of 1441104000 in words is "one billion, four hundred forty-one million, one hundred four thousand".