44444040000040 has 256 divisors, whose sum is σ = 108258249600000. Its totient is φ = 16359513096192.

The previous prime is 44444040000029. The next prime is 44444040000067. The reversal of 44444040000040 is 4000004044444.

It is a junction number, because it is equal to n+sod(n) for n = 44444039999963 and 44444040000008.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9559911636 + ... + 9559916284.

It is an arithmetic number, because the mean of its divisors is an integer number (422883787500).

Almost surely, 2^{44444040000040} is an apocalyptic number.

44444040000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44444040000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54129124800000).

44444040000040 is an abundant number, since it is smaller than the sum of its proper divisors (63814209599960).

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

44444040000040 is a wasteful number, since it uses less digits than its factorization.

44444040000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 5968 counting only the distinct ones).

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

Adding to 44444040000040 its reverse (4000004044444), we get a palindrome (48444044044484).

The spelling of 44444040000040 in words is "forty-four trillion, four hundred forty-four billion, forty million, forty", and thus it is an aban number.