40440040444000 has 192 divisors, whose sum is σ = 103717201835520. Its totient is φ = 15467343091200.

The previous prime is 40440040443983. The next prime is 40440040444003. The reversal of 40440040444000 is 44404004404.

It is a super-2 number, since 2×40440040444000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40440040444000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40440040444003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270313219 + ... + 270462781.

It is an arithmetic number, because the mean of its divisors is an integer number (540193759560).

Almost surely, 2^{40440040444000} is an apocalyptic number.

40440040444000 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 40440040444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51858600917760).

40440040444000 is an abundant number, since it is smaller than the sum of its proper divisors (63277161391520).

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

40440040444000 is a wasteful number, since it uses less digits than its factorization.

40440040444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152550 (or 152532 counting only the distinct ones).

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

Adding to 40440040444000 its reverse (44404004404), we get a palindrome (40484444448404).

It can be divided in two parts, 404400404 and 44000, that added together give a palindrome (404444404).

The spelling of 40440040444000 in words is "forty trillion, four hundred forty billion, forty million, four hundred forty-four thousand".