4042289160 has 384 divisors, whose sum is σ = 16289844480. Its totient is φ = 846526464.

The previous prime is 4042289129. The next prime is 4042289201. The reversal of 4042289160 is 619822404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5339502 + ... + 5340258.

It is an arithmetic number, because the mean of its divisors is an integer number (42421470).

Almost surely, 2^4042289160 is an apocalyptic number.

4042289160 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 4042289160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144922240).

4042289160 is an abundant number, since it is smaller than the sum of its proper divisors (12247555320).

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

4042289160 is a wasteful number, since it uses less digits than its factorization.

4042289160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4042289160 is about 63578.9993629972. Note that the first 3 decimals coincide. The cubic root of 4042289160 is about 1592.9756073642.

The spelling of 4042289160 in words is "four billion, forty-two million, two hundred eighty-nine thousand, one hundred sixty".