4440340004100 has 1152 divisors, whose sum is σ = 17829370847232. Its totient is φ = 823368499200.

The previous prime is 4440340004057. The next prime is 4440340004129. The reversal of 4440340004100 is 14000430444.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1855552504 + ... + 1855554896.

It is an arithmetic number, because the mean of its divisors is an integer number (15476884416).

Almost surely, 2^{4440340004100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440340004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8914685423616).

4440340004100 is an abundant number, since it is smaller than the sum of its proper divisors (13389030843132).

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

4440340004100 is a wasteful number, since it uses less digits than its factorization.

4440340004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2638 counting only the distinct ones).

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

Adding to 4440340004100 its reverse (14000430444), we get a palindrome (4454340434544).

The spelling of 4440340004100 in words is "four trillion, four hundred forty billion, three hundred forty million, four thousand, one hundred".