4055120 has 40 divisors (see below), whose sum is σ = 9515016. Its totient is φ = 1607168.

The previous prime is 4055087. The next prime is 4055137. The reversal of 4055120 is 215504.

It can be written as a sum of positive squares in 4 ways, for example, as 2238016 + 1817104 = 1496^2 + 1348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13694 + ... + 13986.

Almost surely, 2^4055120 is an apocalyptic number.

4055120 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 4055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757508).

4055120 is an abundant number, since it is smaller than the sum of its proper divisors (5459896).

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

4055120 is a wasteful number, since it uses less digits than its factorization.

4055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 4055120 is about 2013.7328521927. The cubic root of 4055120 is about 159.4659276086.

It can be divided in two parts, 405 and 5120, that multiplied together give a square (2073600 = 1440²).

The spelling of 4055120 in words is "four million, fifty-five thousand, one hundred twenty".