224013311220240 has 240 divisors, whose sum is σ = 762933533057280. Its totient is φ = 58893493693440.

The previous prime is 224013311220233. The next prime is 224013311220289. The reversal of 224013311220240 is 42022113310422.

224013311220240 is a `hidden beast` number, since 2 + 2 + 401 + 3 + 3 + 1 + 12 + 2 + 0 + 240 = 666.

224013311220240 is digitally balanced in base 2 and base 4, because in such bases 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 (240).

It is a super-2 number, since 2×224013311220240² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013203326 + ... + 2013314594.

It is an arithmetic number, because the mean of its divisors is an integer number (3178889721072).

Almost surely, 2^{224013311220240} is an apocalyptic number.

224013311220240 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 224013311220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381466766528640).

224013311220240 is an abundant number, since it is smaller than the sum of its proper divisors (538920221837040).

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

224013311220240 is a wasteful number, since it uses less digits than its factorization.

224013311220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150742 (or 150733 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 224013311220240 its reverse (42022113310422), we get a palindrome (266035424530662).

The spelling of 224013311220240 in words is "two hundred twenty-four trillion, thirteen billion, three hundred eleven million, two hundred twenty thousand, two hundred forty".