4013120 has 28 divisors (see below), whose sum is σ = 9557004. Its totient is φ = 1605120.

The previous prime is 4013111. The next prime is 4013153. The reversal of 4013120 is 213104.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2534464 + 1478656 = 1592^2 + 1216^2 .

It is a super-2 number, since 2×4013120² = 32210264268800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5951 + ... + 6590.

Almost surely, 2^4013120 is an apocalyptic number.

4013120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013120 is an abundant number, since it is smaller than the sum of its proper divisors (5543884).

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

4013120 is a wasteful number, since it uses less digits than its factorization.

4013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12558 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4013120 is about 2003.2773148019. The cubic root of 4013120 is about 158.9134716358.

Adding to 4013120 its reverse (213104), we get a palindrome (4226224).

It can be divided in two parts, 40 and 13120, that multiplied together give a triangular number (524800 = T₁₀₂₄).

The spelling of 4013120 in words is "four million, thirteen thousand, one hundred twenty".