224370125421440 has 128 divisors (see below), whose sum is σ = 539173050436800. Its totient is φ = 89282219917312.

The previous prime is 224370125421413. The next prime is 224370125421457. The reversal of 224370125421440 is 44124521073422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×224370125421440² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164695709 + ... + 166052451.

Almost surely, 2^{224370125421440} is an apocalyptic number.

224370125421440 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 224370125421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269586525218400).

224370125421440 is an abundant number, since it is smaller than the sum of its proper divisors (314802925015360).

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

224370125421440 is a wasteful number, since it uses less digits than its factorization.

224370125421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358104 (or 1358092 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 41.

Adding to 224370125421440 its reverse (44124521073422), we get a palindrome (268494646494862).

The spelling of 224370125421440 in words is "two hundred twenty-four trillion, three hundred seventy billion, one hundred twenty-five million, four hundred twenty-one thousand, four hundred forty".