13405422240224 has 192 divisors, whose sum is σ = 31296908998656. Its totient is φ = 5533488513024.

The previous prime is 13405422240169. The next prime is 13405422240233. The reversal of 13405422240224 is 42204222450431.

It is a congruent number.

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, 224542922 + ... + 224602614.

It is an arithmetic number, because the mean of its divisors is an integer number (163004734368).

Almost surely, 2^{13405422240224} is an apocalyptic number.

13405422240224 is a gapful number since it is divisible by the number (14) 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 13405422240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15648454499328).

13405422240224 is an abundant number, since it is smaller than the sum of its proper divisors (17891486758432).

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

13405422240224 is a wasteful number, since it uses less digits than its factorization.

13405422240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60097 (or 60089 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 13405422240224 its reverse (42204222450431), we get a palindrome (55609644690655).

The spelling of 13405422240224 in words is "thirteen trillion, four hundred five billion, four hundred twenty-two million, two hundred forty thousand, two hundred twenty-four".