4003225440 has 192 divisors, whose sum is σ = 13208832000. Its totient is φ = 1017206784.

The previous prime is 4003225439. The next prime is 4003225441. The reversal of 4003225440 is 445223004.

It is an interprime number because it is at equal distance from previous prime (4003225439) and next prime (4003225441).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4003225440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003225441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3852441 + ... + 3853479.

It is an arithmetic number, because the mean of its divisors is an integer number (68796000).

Almost surely, 2^4003225440 is an apocalyptic number.

4003225440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416000).

4003225440 is an abundant number, since it is smaller than the sum of its proper divisors (9205606560).

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

4003225440 is a wasteful number, since it uses less digits than its factorization.

4003225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4003225440 is about 63271.0474071672. The cubic root of 4003225440 is about 1587.8276095732.

Adding to 4003225440 its reverse (445223004), we get a palindrome (4448448444).

The spelling of 4003225440 in words is "four billion, three million, two hundred twenty-five thousand, four hundred forty".