1144421000 has 128 divisors (see below), whose sum is σ = 2769867360. Its totient is φ = 442368000.

The previous prime is 1144420967. The next prime is 1144421009. The reversal of 1144421000 is 1244411.

1144421000 = T₁₄₉ + T₁₅₀ + ... + T₁₉₀₀.

It can be written as a sum of positive squares in 16 ways, for example, as 25786084 + 1118634916 = 5078^2 + 33446^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1144421000.

It is not an unprimeable number, because it can be changed into a prime (1144421009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4452872 + ... + 4453128.

Almost surely, 2^1144421000 is an apocalyptic number.

1144421000 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 1144421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384933680).

1144421000 is an abundant number, since it is smaller than the sum of its proper divisors (1625446360).

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

1144421000 is a wasteful number, since it uses less digits than its factorization.

1144421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1144421000 is about 33829.2920410700. The cubic root of 1144421000 is about 1045.9925857427.

Adding to 1144421000 its reverse (1244411), we get a palindrome (1145665411).

The spelling of 1144421000 in words is "one billion, one hundred forty-four million, four hundred twenty-one thousand".