4518779490720 has 960 divisors, whose sum is σ = 17892371895552. Its totient is φ = 1064503296000.

The previous prime is 4518779490653. The next prime is 4518779490733. The reversal of 4518779490720 is 270949778154.

4518779490720 is a `hidden beast` number, since 4 + 5 + 1 + 8 + 7 + 79 + 490 + 72 + 0 = 666.

It is a super-2 number, since 2×4518779490720² (a number of 26 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 1619052525 + ... + 1619055315.

Almost surely, 2^{4518779490720} is an apocalyptic number.

4518779490720 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 4518779490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946185947776).

4518779490720 is an abundant number, since it is smaller than the sum of its proper divisors (13373592404832).

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

4518779490720 is a wasteful number, since it uses less digits than its factorization.

4518779490720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 4518779490720 in words is "four trillion, five hundred eighteen billion, seven hundred seventy-nine million, four hundred ninety thousand, seven hundred twenty".