4404719504640 has 1152 divisors, whose sum is σ = 18508751880192. Its totient is φ = 867194634240.

The previous prime is 4404719504611. The next prime is 4404719504657. The reversal of 4404719504640 is 464059174044.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4404719504640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 329515237 + ... + 329528603.

It is an arithmetic number, because the mean of its divisors is an integer number (16066624896).

Almost surely, 2^{4404719504640} is an apocalyptic number.

4404719504640 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 4404719504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9254375940096).

4404719504640 is an abundant number, since it is smaller than the sum of its proper divisors (14104032375552).

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

4404719504640 is a wasteful number, since it uses less digits than its factorization.

4404719504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13475 (or 13461 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 4404719504640 in words is "four trillion, four hundred four billion, seven hundred nineteen million, five hundred four thousand, six hundred forty".