4008040444000 has 288 divisors, whose sum is σ = 10545848913600. Its totient is φ = 1496076032000.

The previous prime is 4008040443983. The next prime is 4008040444003. The reversal of 4008040444000 is 4440408004.

It is a self number, because there is not a number n which added to its sum of digits gives 4008040444000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008040444003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 86732901 + ... + 86779099.

It is an arithmetic number, because the mean of its divisors is an integer number (36617530950).

Almost surely, 2^{4008040444000} is an apocalyptic number.

4008040444000 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 4008040444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272924456800).

4008040444000 is an abundant number, since it is smaller than the sum of its proper divisors (6537808469600).

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

4008040444000 is a wasteful number, since it uses less digits than its factorization.

4008040444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46311 (or 46270 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 4008040444000 in words is "four trillion, eight billion, forty million, four hundred forty-four thousand".