4440384782416 has 240 divisors, whose sum is σ = 10245628612800. Its totient is φ = 1855843799040.

The previous prime is 4440384782381. The next prime is 4440384782423. The reversal of 4440384782416 is 6142874830444.

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 47 ways as a sum of consecutive naturals, for example, 316507690 + ... + 316521718.

It is an arithmetic number, because the mean of its divisors is an integer number (42690119220).

Almost surely, 2^{4440384782416} 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 4440384782416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122814306400).

4440384782416 is an abundant number, since it is smaller than the sum of its proper divisors (5805243830384).

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

4440384782416 is a wasteful number, since it uses less digits than its factorization.

4440384782416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14298 (or 14281 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 55.

The spelling of 4440384782416 in words is "four trillion, four hundred forty billion, three hundred eighty-four million, seven hundred eighty-two thousand, four hundred sixteen".