1444034000 has 80 divisors (see below), whose sum is σ = 3534148800. Its totient is φ = 570588800.

The previous prime is 1444033979. The next prime is 1444034003. The reversal of 1444034000 is 4304441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444034003) 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 15 ways as a sum of consecutive naturals, for example, 161651 + ... + 170349.

It is an arithmetic number, because the mean of its divisors is an integer number (44176860).

Almost surely, 2^1444034000 is an apocalyptic number.

1444034000 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 1444034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767074400).

1444034000 is an abundant number, since it is smaller than the sum of its proper divisors (2090114800).

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

1444034000 is an equidigital number, since it uses as much as digits as its factorization.

1444034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1444034000 is about 38000.4473657877. The cubic root of 1444034000 is about 1130.2967346645.

Adding to 1444034000 its reverse (4304441), we get a palindrome (1448338441).

The spelling of 1444034000 in words is "one billion, four hundred forty-four million, thirty-four thousand".