444040440440 has 64 divisors (see below), whose sum is σ = 1016191872000. Its totient is φ = 174577011840.

The previous prime is 444040440421. The next prime is 444040440457. The reversal of 444040440440 is 44044040444.

It is a super-2 number, since 2×444040440440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444040440397 and 444040440406.

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, 19602641 + ... + 19625279.

It is an arithmetic number, because the mean of its divisors is an integer number (15877998000).

Almost surely, 2^444040440440 is an apocalyptic number.

444040440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444040440440 is an abundant number, since it is smaller than the sum of its proper divisors (572151431560).

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

444040440440 is a wasteful number, since it uses less digits than its factorization.

444040440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31020 (or 31016 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 444040440440 its reverse (44044040444), we get a palindrome (488084480884).

It can be divided in two parts, 4440404 and 40440, that added together give a palindrome (4480844).

The spelling of 444040440440 in words is "four hundred forty-four billion, forty million, four hundred forty thousand, four hundred forty".