8042019120 has 160 divisors (see below), whose sum is σ = 27802357440. Its totient is φ = 2136637440.

The previous prime is 8042019109. The next prime is 8042019127. The reversal of 8042019120 is 219102408.

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 (8042019127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591600 + ... + 605040.

It is an arithmetic number, because the mean of its divisors is an integer number (173764734).

Almost surely, 2^8042019120 is an apocalyptic number.

8042019120 is a gapful number since it is divisible by the number (80) 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 8042019120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13901178720).

8042019120 is an abundant number, since it is smaller than the sum of its proper divisors (19760338320).

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

8042019120 is a wasteful number, since it uses less digits than its factorization.

8042019120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13740 (or 13728 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8042019120 is about 89677.3054902967. The cubic root of 8042019120 is about 2003.4954805820.

The spelling of 8042019120 in words is "eight billion, forty-two million, nineteen thousand, one hundred twenty".