1444004400 has 240 divisors, whose sum is σ = 4879973376. Its totient is φ = 364277760.

The previous prime is 1444004399. The next prime is 1444004407. The reversal of 1444004400 is 44004441.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1444004407) 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 47 ways as a sum of consecutive naturals, for example, 3118569 + ... + 3119031.

Almost surely, 2^1444004400 is an apocalyptic number.

1444004400 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 1444004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439986688).

1444004400 is an abundant number, since it is smaller than the sum of its proper divisors (3435968976).

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

1444004400 is a wasteful number, since it uses less digits than its factorization.

1444004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1444004400 is about 38000.0578946927. The cubic root of 1444004400 is about 1130.2890116211.

Adding to 1444004400 its reverse (44004441), we get a palindrome (1488008841).

The spelling of 1444004400 in words is "one billion, four hundred forty-four million, four thousand, four hundred".