4042594080 has 864 divisors, whose sum is σ = 17424336384. Its totient is φ = 848719872.

The previous prime is 4042593979. The next prime is 4042594163. The reversal of 4042594080 is 804952404.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76275334 + ... + 76275386.

It is an arithmetic number, because the mean of its divisors is an integer number (20167056).

It is a vampire number, since it can be written as 45402 ⋅ 89040 (with its own digits).

Almost surely, 2^4042594080 is an apocalyptic number.

4042594080 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 4042594080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8712168192).

4042594080 is an abundant number, since it is smaller than the sum of its proper divisors (13381742304).

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

4042594080 is a wasteful number, since it uses less digits than its factorization.

4042594080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4042594080 is about 63581.3972793930. The cubic root of 4042594080 is about 1593.0156604043.

The spelling of 4042594080 in words is "four billion, forty-two million, five hundred ninety-four thousand, eighty".