444020040 has 96 divisors (see below), whose sum is σ = 1456678080. Its totient is φ = 117288576.

The previous prime is 444020039. The next prime is 444020041. The reversal of 444020040 is 40020444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444020039) and next prime (444020041).

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

It is a junction number, because it is equal to n+sod(n) for n = 444019995 and 444020022.

It is not an unprimeable number, because it can be changed into a prime (444020041) 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, 32757 + ... + 44283.

It is an arithmetic number, because the mean of its divisors is an integer number (15173730).

Almost surely, 2^444020040 is an apocalyptic number.

444020040 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 444020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728339040).

444020040 is an abundant number, since it is smaller than the sum of its proper divisors (1012658040).

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

444020040 is a wasteful number, since it uses less digits than its factorization.

444020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11651 (or 11644 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 444020040 is about 21071.7830284957. The cubic root of 444020040 is about 762.8998401024.

Adding to 444020040 its reverse (40020444), we get a palindrome (484040484).

The spelling of 444020040 in words is "four hundred forty-four million, twenty thousand, forty".