4059120 has 80 divisors (see below), whose sum is σ = 13561632. Its totient is φ = 998400.

The previous prime is 4059119. The next prime is 4059131. The reversal of 4059120 is 219504.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470 + ... + 3770.

Almost surely, 2^4059120 is an apocalyptic number.

4059120 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 4059120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780816).

4059120 is an abundant number, since it is smaller than the sum of its proper divisors (9502512).

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

4059120 is a wasteful number, since it uses less digits than its factorization.

4059120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 4059120 is about 2014.7257877935. The cubic root of 4059120 is about 159.5183431635.

The spelling of 4059120 in words is "four million, fifty-nine thousand, one hundred twenty".