1144104000 has 448 divisors, whose sum is σ = 4304751360. Its totient is φ = 265420800.

The previous prime is 1144103999. The next prime is 1144104041. The reversal of 1144104000 is 4014411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5927904 + ... + 5928096.

It is an arithmetic number, because the mean of its divisors is an integer number (9608820).

Almost surely, 2^1144104000 is an apocalyptic number.

1144104000 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 1144104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152375680).

1144104000 is an abundant number, since it is smaller than the sum of its proper divisors (3160647360).

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

1144104000 is a wasteful number, since it uses less digits than its factorization.

1144104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

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

The square root of 1144104000 is about 33824.6064278655. The cubic root of 1144104000 is about 1045.8959982486.

Adding to 1144104000 its reverse (4014411), we get a palindrome (1148118411).

The spelling of 1144104000 in words is "one billion, one hundred forty-four million, one hundred four thousand".