4040004444000 has 768 divisors, whose sum is σ = 15769322569728. Its totient is φ = 884736000000.

The previous prime is 4040004443983. The next prime is 4040004444067. The reversal of 4040004444000 is 4444000404.

4040004444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 262996320 + ... + 263011680.

It is an arithmetic number, because the mean of its divisors is an integer number (20532972096).

Almost surely, 2^{4040004444000} is an apocalyptic number.

4040004444000 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 4040004444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884661284864).

4040004444000 is an abundant number, since it is smaller than the sum of its proper divisors (11729318125728).

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

4040004444000 is a wasteful number, since it uses less digits than its factorization.

4040004444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15528 (or 15510 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4040004444000 its reverse (4444000404), we get a palindrome (4044448444404).

The spelling of 4040004444000 in words is "four trillion, forty billion, four million, four hundred forty-four thousand".