1444631040 has 120 divisors (see below), whose sum is σ = 5003243388. Its totient is φ = 385228800.

The previous prime is 1444631039. The next prime is 1444631059. The reversal of 1444631040 is 401364441.

It can be written as a sum of positive squares in 2 ways, for example, as 1434288384 + 10342656 = 37872^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1444630995 and 1444631013.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8311 + ... + 54390.

Almost surely, 2^1444631040 is an apocalyptic number.

1444631040 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 1444631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501621694).

1444631040 is an abundant number, since it is smaller than the sum of its proper divisors (3558612348).

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

1444631040 is an equidigital number, since it uses as much as digits as its factorization.

1444631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62730 (or 62711 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1444631040 is about 38008.3022509556. The cubic root of 1444631040 is about 1130.4524880101.

Adding to 1444631040 its reverse (401364441), we get a palindrome (1845995481).

The spelling of 1444631040 in words is "one billion, four hundred forty-four million, six hundred thirty-one thousand, forty".