5019408000 has 384 divisors, whose sum is σ = 18708056640. Its totient is φ = 1337472000.

The previous prime is 5019407989. The next prime is 5019408007. The reversal of 5019408000 is 8049105.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5019408007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887355 + ... + 3888645.

Almost surely, 2^5019408000 is an apocalyptic number.

5019408000 is a gapful number since it is divisible by the number (50) 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 5019408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354028320).

5019408000 is an abundant number, since it is smaller than the sum of its proper divisors (13688648640).

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

5019408000 is an equidigital number, since it uses as much as digits as its factorization.

5019408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5019408000 is about 70847.7804874648. The cubic root of 5019408000 is about 1712.1855710569.

The spelling of 5019408000 in words is "five billion, nineteen million, four hundred eight thousand".