224014232555040 has 192 divisors, whose sum is σ = 708797663199360. Its totient is φ = 59470275010560.

The previous prime is 224014232555027. The next prime is 224014232555051. The reversal of 224014232555040 is 40555232410422.

It is a self number, because there is not a number n which added to its sum of digits gives 224014232555040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149335995 + ... + 1149530885.

It is an arithmetic number, because the mean of its divisors is an integer number (3691654495830).

Almost surely, 2^{224014232555040} is an apocalyptic number.

224014232555040 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 224014232555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354398831599680).

224014232555040 is an abundant number, since it is smaller than the sum of its proper divisors (484783430644320).

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

224014232555040 is a wasteful number, since it uses less digits than its factorization.

224014232555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205595 (or 205587 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 224014232555040 its reverse (40555232410422), we get a palindrome (264569464965462).

The spelling of 224014232555040 in words is "two hundred twenty-four trillion, fourteen billion, two hundred thirty-two million, five hundred fifty-five thousand, forty".