224221420441400 has 48 divisors (see below), whose sum is σ = 521315912217600. Its totient is φ = 89688377262080.

The previous prime is 224221420441391. The next prime is 224221420441409. The reversal of 224221420441400 is 4144024122422.

It is an interprime number because it is at equal distance from previous prime (224221420441391) and next prime (224221420441409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224221420441409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127742921 + ... + 129486279.

It is an arithmetic number, because the mean of its divisors is an integer number (10860748171200).

Almost surely, 2^{224221420441400} is an apocalyptic number.

224221420441400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224221420441400 is an abundant number, since it is smaller than the sum of its proper divisors (297094491776200).

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

224221420441400 is a wasteful number, since it uses less digits than its factorization.

224221420441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386448 (or 2386439 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 224221420441400 its reverse (4144024122422), we get a palindrome (228365444563822).

The spelling of 224221420441400 in words is "two hundred twenty-four trillion, two hundred twenty-one billion, four hundred twenty million, four hundred forty-one thousand, four hundred".