444000040440 has 64 divisors (see below), whose sum is σ = 1453091045760. Its totient is φ = 107636373120.

The previous prime is 444000040427. The next prime is 444000040457. The reversal of 444000040440 is 44040000444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 444000040440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168180514 + ... + 168183153.

It is an arithmetic number, because the mean of its divisors is an integer number (22704547590).

Almost surely, 2^444000040440 is an apocalyptic number.

444000040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444000040440 is an abundant number, since it is smaller than the sum of its proper divisors (1009091005320).

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

444000040440 is a wasteful number, since it uses less digits than its factorization.

444000040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336363692 (or 336363688 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 444000040440 its reverse (44040000444), we get a palindrome (488040040884).

It can be divided in two parts, 4440000404 and 40, that added together give a palindrome (4440000444).

The spelling of 444000040440 in words is "four hundred forty-four billion, forty thousand, four hundred forty".