444242220040 has 64 divisors (see below), whose sum is σ = 1027417316400. Its totient is φ = 172801155072.

The previous prime is 444242220011. The next prime is 444242220041. The reversal of 444242220040 is 40022242444.

It can be written as a sum of positive squares in 8 ways, for example, as 205529849316 + 238712370724 = 453354^2 + 488582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444242219990 and 444242220008.

It is not an unprimeable number, because it can be changed into a prime (444242220041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687645 + ... + 1166764.

Almost surely, 2^444242220040 is an apocalyptic number.

444242220040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444242220040 is an abundant number, since it is smaller than the sum of its proper divisors (583175096360).

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

444242220040 is a wasteful number, since it uses less digits than its factorization.

444242220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854586 (or 1854582 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 444242220040 its reverse (40022242444), we get a palindrome (484264462484).

The spelling of 444242220040 in words is "four hundred forty-four billion, two hundred forty-two million, two hundred twenty thousand, forty".