4344004344040 has 64 divisors (see below), whose sum is σ = 9907869196800. Its totient is φ = 1713849566208.

The previous prime is 4344004343971. The next prime is 4344004344073. The reversal of 4344004344040 is 404434004434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4344004343987 and 4344004344005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2383797 + ... + 3790843.

It is an arithmetic number, because the mean of its divisors is an integer number (154810456200).

Almost surely, 2^{4344004344040} is an apocalyptic number.

4344004344040 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 4344004344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953934598400).

4344004344040 is an abundant number, since it is smaller than the sum of its proper divisors (5563864852760).

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

4344004344040 is a wasteful number, since it uses less digits than its factorization.

4344004344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408114 (or 1408110 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 4344004344040 its reverse (404434004434), we get a palindrome (4748438348474).

The spelling of 4344004344040 in words is "four trillion, three hundred forty-four billion, four million, three hundred forty-four thousand, forty".