444011040 has 144 divisors (see below), whose sum is σ = 1652990976. Its totient is φ = 107635200.

The previous prime is 444011027. The next prime is 444011041. The reversal of 444011040 is 40110444.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (444011041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1825 + ... + 29855.

It is an arithmetic number, because the mean of its divisors is an integer number (11479104).

Almost surely, 2^444011040 is an apocalyptic number.

444011040 is a gapful number since it is divisible by the number (40) 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 444011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826495488).

444011040 is an abundant number, since it is smaller than the sum of its proper divisors (1208979936).

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

444011040 is a wasteful number, since it uses less digits than its factorization.

444011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28063 (or 28052 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 444011040 is about 21071.5694716839. The cubic root of 444011040 is about 762.8946855716.

Adding to 444011040 its reverse (40110444), we get a palindrome (484121484).

It can be divided in two parts, 4 and 44011040, that added together give a palindrome (44011044).

The spelling of 444011040 in words is "four hundred forty-four million, eleven thousand, forty".