4918019944320 has 768 divisors, whose sum is σ = 19559509032960. Its totient is φ = 1115412480000.

The previous prime is 4918019944267. The next prime is 4918019944333. The reversal of 4918019944320 is 234499108194.

4918019944320 is a `hidden beast` number, since 4 + 9 + 1 + 8 + 0 + 199 + 443 + 2 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5398484665 + ... + 5398485575.

It is an arithmetic number, because the mean of its divisors is an integer number (25468110720).

Almost surely, 2^{4918019944320} is an apocalyptic number.

4918019944320 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 4918019944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779754516480).

4918019944320 is an abundant number, since it is smaller than the sum of its proper divisors (14641489088640).

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

4918019944320 is a wasteful number, since it uses less digits than its factorization.

4918019944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 4918019944320 in words is "four trillion, nine hundred eighteen billion, nineteen million, nine hundred forty-four thousand, three hundred twenty".