4003132224 has 336 divisors, whose sum is σ = 13484693376. Its totient is φ = 1038643200.

The previous prime is 4003132163. The next prime is 4003132253. The reversal of 4003132224 is 4222313004.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4003132224.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8683354 + ... + 8683814.

It is an arithmetic number, because the mean of its divisors is an integer number (40133016).

Almost surely, 2^4003132224 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 4003132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742346688).

4003132224 is an abundant number, since it is smaller than the sum of its proper divisors (9481561152).

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

4003132224 is a wasteful number, since it uses less digits than its factorization.

4003132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4003132224 is about 63270.3107626318. The cubic root of 4003132224 is about 1587.8152851705.

Adding to 4003132224 its reverse (4222313004), we get a palindrome (8225445228).

The spelling of 4003132224 in words is "four billion, three million, one hundred thirty-two thousand, two hundred twenty-four".