4004224240 has 40 divisors (see below), whose sum is σ = 9313555680. Its totient is φ = 1601047296.

The previous prime is 4004224219. The next prime is 4004224243. The reversal of 4004224240 is 424224004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004224243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224781 + ... + 241939.

It is an arithmetic number, because the mean of its divisors is an integer number (232838892).

Almost surely, 2^4004224240 is an apocalyptic number.

4004224240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004224240 is an abundant number, since it is smaller than the sum of its proper divisors (5309331440).

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

4004224240 is a wasteful number, since it uses less digits than its factorization.

4004224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20089 (or 20083 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4004224240 is about 63278.9399405521. The cubic root of 4004224240 is about 1587.9596522941.

Adding to 4004224240 its reverse (424224004), we get a palindrome (4428448244).

The spelling of 4004224240 in words is "four billion, four million, two hundred twenty-four thousand, two hundred forty".