4002224433440 has 96 divisors (see below), whose sum is σ = 9511751954880. Its totient is φ = 1591327796224.

The previous prime is 4002224433439. The next prime is 4002224433457. The reversal of 4002224433440 is 443344222004.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4002224433397 and 4002224433406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188960771 + ... + 188981949.

It is an arithmetic number, because the mean of its divisors is an integer number (99080749530).

Almost surely, 2^{4002224433440} is an apocalyptic number.

4002224433440 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 4002224433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755875977440).

4002224433440 is an abundant number, since it is smaller than the sum of its proper divisors (5509527521440).

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

4002224433440 is a wasteful number, since it uses less digits than its factorization.

4002224433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28194 (or 28186 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 4002224433440 its reverse (443344222004), we get a palindrome (4445568655444).

The spelling of 4002224433440 in words is "four trillion, two billion, two hundred twenty-four million, four hundred thirty-three thousand, four hundred forty".