4819450318320 has 240 divisors, whose sum is σ = 16575465352320. Its totient is φ = 1157431672320.

The previous prime is 4819450318313. The next prime is 4819450318369. The reversal of 4819450318320 is 238130549184.

It is a tau number, because it is divible by the number of its divisors (240).

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 4819450318320.

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 47 ways as a sum of consecutive naturals, for example, 2331771 + ... + 3882789.

It is an arithmetic number, because the mean of its divisors is an integer number (69064438968).

Almost surely, 2^{4819450318320} is an apocalyptic number.

4819450318320 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 4819450318320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287732676160).

4819450318320 is an abundant number, since it is smaller than the sum of its proper divisors (11756015034000).

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

4819450318320 is a wasteful number, since it uses less digits than its factorization.

4819450318320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551164 (or 1551147 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 4819450318320 in words is "four trillion, eight hundred nineteen billion, four hundred fifty million, three hundred eighteen thousand, three hundred twenty".