4042080 has 144 divisors (see below), whose sum is σ = 15803424. Its totient is φ = 921600.

The previous prime is 4042069. The next prime is 4042081. The reversal of 4042080 is 802404.

It is a happy number.

4042080 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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 (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

4042080 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042081) 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, 9880 + ... + 10280.

It is an arithmetic number, because the mean of its divisors is an integer number (109746).

Almost surely, 2^4042080 is an apocalyptic number.

4042080 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 4042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901712).

4042080 is an abundant number, since it is smaller than the sum of its proper divisors (11761344).

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

4042080 is a wasteful number, since it uses less digits than its factorization.

4042080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4042080 is about 2010.4924769817. The cubic root of 4042080 is about 159.2948131800.

Adding to 4042080 its reverse (802404), we get a palindrome (4844484).

The spelling of 4042080 in words is "four million, forty-two thousand, eighty".