1444314240 has 384 divisors, whose sum is σ = 5333065920. Its totient is φ = 373248000.

The previous prime is 1444314217. The next prime is 1444314247. The reversal of 1444314240 is 424134441.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444314247) 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 47 ways as a sum of consecutive naturals, for example, 5754115 + ... + 5754365.

Almost surely, 2^1444314240 is an apocalyptic number.

1444314240 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 1444314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666532960).

1444314240 is an abundant number, since it is smaller than the sum of its proper divisors (3888751680).

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

1444314240 is an equidigital number, since it uses as much as digits as its factorization.

1444314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1444314240 is about 38004.1345119186. The cubic root of 1444314240 is about 1130.3698478711.

Adding to 1444314240 its reverse (424134441), we get a palindrome (1868448681).

The spelling of 1444314240 in words is "one billion, four hundred forty-four million, three hundred fourteen thousand, two hundred forty".