224002240013440 has 128 divisors (see below), whose sum is σ = 612869324947200. Its totient is φ = 76692444254208.

The previous prime is 224002240013437. The next prime is 224002240013449. The reversal of 224002240013440 is 44310042200422.

224002240013440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×224002240013440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 224002240013399 and 224002240013408.

It is not an unprimeable number, because it can be changed into a prime (224002240013449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32084964 + ... + 38437603.

It is an arithmetic number, because the mean of its divisors is an integer number (4788041601150).

Almost surely, 2^{224002240013440} is an apocalyptic number.

224002240013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224002240013440 is an abundant number, since it is smaller than the sum of its proper divisors (388867084933760).

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

224002240013440 is an equidigital number, since it uses as much as digits as its factorization.

224002240013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70523302 (or 70523290 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 224002240013440 its reverse (44310042200422), we get a palindrome (268312282213862).

The spelling of 224002240013440 in words is "two hundred twenty-four trillion, two billion, two hundred forty million, thirteen thousand, four hundred forty".