4104430000440 has 768 divisors, whose sum is σ = 16613115448320. Its totient is φ = 800379740160.

The previous prime is 4104430000403. The next prime is 4104430000469. The reversal of 4104430000440 is 440000344014.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4104430000440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78818892 + ... + 78870948.

It is an arithmetic number, because the mean of its divisors is an integer number (21631660740).

Almost surely, 2^{4104430000440} is an apocalyptic number.

4104430000440 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 4104430000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306557724160).

4104430000440 is an abundant number, since it is smaller than the sum of its proper divisors (12508685447880).

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

4104430000440 is a wasteful number, since it uses less digits than its factorization.

4104430000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52172 (or 52161 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4104430000440 its reverse (440000344014), we get a palindrome (4544430344454).

The spelling of 4104430000440 in words is "four trillion, one hundred four billion, four hundred thirty million, four hundred forty", and thus it is an aban number.