4444441003440 has 120 divisors (see below), whose sum is σ = 15329317552848. Its totient is φ = 1153152253440.

The previous prime is 4444441003433. The next prime is 4444441003549. The reversal of 4444441003440 is 443001444444.

4444441003440 is a `hidden beast` number, since 4 + 44 + 444 + 100 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4444441003395 and 4444441003404.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 83390046 + ... + 83443325.

Almost surely, 2^{4444441003440} is an apocalyptic number.

4444441003440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444441003440 is an abundant number, since it is smaller than the sum of its proper divisors (10884876549408).

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

4444441003440 is a wasteful number, since it uses less digits than its factorization.

4444441003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166833427 (or 166833418 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4444441003440 its reverse (443001444444), we get a palindrome (4887442447884).

The spelling of 4444441003440 in words is "four trillion, four hundred forty-four billion, four hundred forty-one million, three thousand, four hundred forty".