13202434122240 has 640 divisors, whose sum is σ = 49163025364992. Its totient is φ = 2990218936320.

The previous prime is 13202434122239. The next prime is 13202434122253. The reversal of 13202434122240 is 4222143420231.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13202434122198 and 13202434122207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83471712 + ... + 83629728.

Almost surely, 2^{13202434122240} is an apocalyptic number.

13202434122240 is a gapful number since it is divisible by the number (10) 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 13202434122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24581512682496).

13202434122240 is an abundant number, since it is smaller than the sum of its proper divisors (35960591242752).

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

13202434122240 is a wasteful number, since it uses less digits than its factorization.

13202434122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158120 (or 158104 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 13202434122240 its reverse (4222143420231), we get a palindrome (17424577542471).

The spelling of 13202434122240 in words is "thirteen trillion, two hundred two billion, four hundred thirty-four million, one hundred twenty-two thousand, two hundred forty".