4411224222400 has 84 divisors (see below), whose sum is σ = 10900954796472. Its totient is φ = 1756916623360.

The previous prime is 4411224222263. The next prime is 4411224222421. The reversal of 4411224222400 is 42224221144.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 5543542 + ... + 6289141.

Almost surely, 2^{4411224222400} is an apocalyptic number.

4411224222400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4411224222400 is an abundant number, since it is smaller than the sum of its proper divisors (6489730574072).

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

4411224222400 is a wasteful number, since it uses less digits than its factorization.

4411224222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11832938 (or 11832923 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4411224222400 its reverse (42224221144), we get a palindrome (4453448443544).

The spelling of 4411224222400 in words is "four trillion, four hundred eleven billion, two hundred twenty-four million, two hundred twenty-two thousand, four hundred".