4004224040 has 32 divisors (see below), whose sum is σ = 9069183360. Its totient is φ = 1591080000.

The previous prime is 4004224001. The next prime is 4004224057. The reversal of 4004224040 is 404224004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325436 + ... + 337515.

It is an arithmetic number, because the mean of its divisors is an integer number (283411980).

Almost surely, 2^4004224040 is an apocalyptic number.

4004224040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004224040 is an abundant number, since it is smaller than the sum of its proper divisors (5064959320).

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

4004224040 is a wasteful number, since it uses less digits than its factorization.

4004224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663113 (or 663109 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4004224040 is about 63278.9383602475. The cubic root of 4004224040 is about 1587.9596258561.

Adding to 4004224040 its reverse (404224004), we get a palindrome (4408448044).

The spelling of 4004224040 in words is "four billion, four million, two hundred twenty-four thousand, forty".