224211242013440 has 72 divisors (see below), whose sum is σ = 585879262548048. Its totient is φ = 81531360727040.

The previous prime is 224211242013419. The next prime is 224211242013467. The reversal of 224211242013440 is 44310242112422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 224211242013397 and 224211242013406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7962032867 + ... + 7962061026.

It is an arithmetic number, because the mean of its divisors is an integer number (8137211979834).

Almost surely, 2^{224211242013440} is an apocalyptic number.

224211242013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224211242013440 is an abundant number, since it is smaller than the sum of its proper divisors (361668020534608).

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

224211242013440 is a wasteful number, since it uses less digits than its factorization.

224211242013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924093925 (or 15924093911 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 224211242013440 its reverse (44310242112422), we get a palindrome (268521484125862).

The spelling of 224211242013440 in words is "two hundred twenty-four trillion, two hundred eleven billion, two hundred forty-two million, thirteen thousand, four hundred forty".