1444113400 has 48 divisors (see below), whose sum is σ = 3367083600. Its totient is φ = 576007680.

The previous prime is 1444113383. The next prime is 1444113401. The reversal of 1444113400 is 43114441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444113401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61744 + ... + 81856.

It is an arithmetic number, because the mean of its divisors is an integer number (70147575).

Almost surely, 2^1444113400 is an apocalyptic number.

1444113400 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 1444113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683541800).

1444113400 is an abundant number, since it is smaller than the sum of its proper divisors (1922970200).

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

1444113400 is a wasteful number, since it uses less digits than its factorization.

1444113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20488 (or 20479 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1444113400 is about 38001.4920759699. The cubic root of 1444113400 is about 1130.3174506855.

Adding to 1444113400 its reverse (43114441), we get a palindrome (1487227841).

The spelling of 1444113400 in words is "one billion, four hundred forty-four million, one hundred thirteen thousand, four hundred".