4019438880 has 144 divisors (see below), whose sum is σ = 13770973944. Its totient is φ = 1067581440.

The previous prime is 4019438873. The next prime is 4019438887. The reversal of 4019438880 is 888349104.

4019438880 is a `hidden beast` number, since 4 + 0 + 194 + 388 + 80 = 666.

4019438880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4019438873) and next prime (4019438887).

It can be written as a sum of positive squares in 4 ways, for example, as 3880293264 + 139145616 = 62292^2 + 11796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4019438887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364650 + ... + 375510.

Almost surely, 2^4019438880 is an apocalyptic number.

4019438880 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 4019438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885486972).

4019438880 is an abundant number, since it is smaller than the sum of its proper divisors (9751535064).

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

4019438880 is a wasteful number, since it uses less digits than its factorization.

4019438880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4019438880 is about 63399.0447877569. The cubic root of 4019438880 is about 1589.9683392295.

The spelling of 4019438880 in words is "four billion, nineteen million, four hundred thirty-eight thousand, eight hundred eighty".