4004140 has 48 divisors (see below), whose sum is σ = 9882432. Its totient is φ = 1334016.

The previous prime is 4004137. The next prime is 4004141. The reversal of 4004140 is 414004.

4004140 = T₁₉₆ + T₁₉₇ + ... + T₃₁₅.

It is a happy number.

4004140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4004140.

It is not an unprimeable number, because it can be changed into a prime (4004141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4794 + ... + 5566.

It is an arithmetic number, because the mean of its divisors is an integer number (205884).

Almost surely, 2^4004140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941216).

4004140 is an abundant number, since it is smaller than the sum of its proper divisors (5878292).

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

4004140 is a wasteful number, since it uses less digits than its factorization.

4004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4004140 is about 2001.0347323323. The cubic root of 4004140 is about 158.7948516499.

Adding to 4004140 its reverse (414004), we get a palindrome (4418144).

The spelling of 4004140 in words is "four million, four thousand, one hundred forty".