40444004404440 has 1536 divisors, whose sum is σ = 175921262899200. Its totient is φ = 7819396300800.

The previous prime is 40444004404429. The next prime is 40444004404481. The reversal of 40444004404440 is 4440440044404.

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 = 40444004404395 and 40444004404404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3984233365 + ... + 3984243515.

It is an arithmetic number, because the mean of its divisors is an integer number (114532072200).

Almost surely, 2^{40444004404440} is an apocalyptic number.

40444004404440 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 40444004404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87960631449600).

40444004404440 is an abundant number, since it is smaller than the sum of its proper divisors (135477258494760).

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

40444004404440 is a wasteful number, since it uses less digits than its factorization.

40444004404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417 (or 10410 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 40444004404440 its reverse (4440440044404), we get a palindrome (44884444448844).

The spelling of 40444004404440 in words is "forty trillion, four hundred forty-four billion, four million, four hundred four thousand, four hundred forty".