4003221408 has 24 divisors (see below), whose sum is σ = 10508456448. Its totient is φ = 1334407104.

The previous prime is 4003221407. The next prime is 4003221419. The reversal of 4003221408 is 8041223004.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4003221403) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 20850016 + ... + 20850207.

It is an arithmetic number, because the mean of its divisors is an integer number (437852352).

Almost surely, 2^4003221408 is an apocalyptic number.

4003221408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4003221408 is an abundant number, since it is smaller than the sum of its proper divisors (6505235040).

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

4003221408 is a wasteful number, since it uses less digits than its factorization.

4003221408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41700236 (or 41700228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4003221408 is about 63271.0155442443. The cubic root of 4003221408 is about 1587.8270764928.

The spelling of 4003221408 in words is "four billion, three million, two hundred twenty-one thousand, four hundred eight".