444040040 has 64 divisors (see below), whose sum is σ = 1024531200. Its totient is φ = 173152512.

The previous prime is 444040039. The next prime is 444040061. The reversal of 444040040 is 40040444.

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

It is a junction number, because it is equal to n+sod(n) for n = 444039994 and 444040021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261434 + ... + 263126.

It is an arithmetic number, because the mean of its divisors is an integer number (16008300).

Almost surely, 2^444040040 is an apocalyptic number.

444040040 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 444040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512265600).

444040040 is an abundant number, since it is smaller than the sum of its proper divisors (580491160).

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

444040040 is a wasteful number, since it uses less digits than its factorization.

444040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 444040040 is about 21072.2575914400. The cubic root of 444040040 is about 762.9112943660.

Adding to 444040040 its reverse (40040444), we get a palindrome (484080484).

The spelling of 444040040 in words is "four hundred forty-four million, forty thousand, forty".