4519982880 has 288 divisors, whose sum is σ = 17919353088. Its totient is φ = 1016064000.

The previous prime is 4519982843. The next prime is 4519982921. The reversal of 4519982880 is 882899154.

4519982880 is a `hidden beast` number, since 451 + 9 + 98 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611205 + ... + 618555.

It is an arithmetic number, because the mean of its divisors is an integer number (62219976).

Almost surely, 2^4519982880 is an apocalyptic number.

4519982880 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 4519982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8959676544).

4519982880 is an abundant number, since it is smaller than the sum of its proper divisors (13399370208).

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

4519982880 is a wasteful number, since it uses less digits than its factorization.

4519982880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440 (or 7429 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The square root of 4519982880 is about 67230.8179334448. The cubic root of 4519982880 is about 1653.4037944014.

The spelling of 4519982880 in words is "four billion, five hundred nineteen million, nine hundred eighty-two thousand, eight hundred eighty".