444004134040 has 16 divisors (see below), whose sum is σ = 999009301680. Its totient is φ = 177601653600.

The previous prime is 444004134019. The next prime is 444004134061. The reversal of 444004134040 is 40431400444.

It is an interprime number because it is at equal distance from previous prime (444004134019) and next prime (444004134061).

It is a super-2 number, since 2×444004134040² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 5550051636 + ... + 5550051715.

It is an arithmetic number, because the mean of its divisors is an integer number (62438081355).

Almost surely, 2^444004134040 is an apocalyptic number.

444004134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444004134040 is an abundant number, since it is smaller than the sum of its proper divisors (555005167640).

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

444004134040 is a wasteful number, since it uses less digits than its factorization.

444004134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100103362 (or 11100103358 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 444004134040 its reverse (40431400444), we get a palindrome (484435534484).

The spelling of 444004134040 in words is "four hundred forty-four billion, four million, one hundred thirty-four thousand, forty".