2224000400440 has 128 divisors (see below), whose sum is σ = 6160873259520. Its totient is φ = 703619136000.

The previous prime is 2224000400417. The next prime is 2224000400443. The reversal of 2224000400440 is 440040004222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224000400443) 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 31 ways as a sum of consecutive naturals, for example, 10711615 + ... + 10917265.

It is an arithmetic number, because the mean of its divisors is an integer number (48131822340).

Almost surely, 2^{2224000400440} is an apocalyptic number.

2224000400440 is a gapful number since it is divisible by the number (20) 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 2224000400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080436629760).

2224000400440 is an abundant number, since it is smaller than the sum of its proper divisors (3936872859080).

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

2224000400440 is a wasteful number, since it uses less digits than its factorization.

2224000400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208653 (or 208649 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2224000400440 its reverse (440040004222), we get a palindrome (2664040404662).

The spelling of 2224000400440 in words is "two trillion, two hundred twenty-four billion, four hundred thousand, four hundred forty".