1444013040 has 80 divisors (see below), whose sum is σ = 4494462336. Its totient is φ = 383520000.

The previous prime is 1444013029. The next prime is 1444013041. The reversal of 1444013040 is 403104441.

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

It is a junction number, because it is equal to n+sod(n) for n = 1444012998 and 1444013016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444013041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48255 + ... + 72225.

Almost surely, 2^1444013040 is an apocalyptic number.

1444013040 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 1444013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247231168).

1444013040 is an abundant number, since it is smaller than the sum of its proper divisors (3050449296).

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

1444013040 is a wasteful number, since it uses less digits than its factorization.

1444013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24238 (or 24232 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1444013040 is about 38000.1715785600. The cubic root of 1444013040 is about 1130.2912659258.

Adding to 1444013040 its reverse (403104441), we get a palindrome (1847117481).

The spelling of 1444013040 in words is "one billion, four hundred forty-four million, thirteen thousand, forty".