13144434340420 has 24 divisors (see below), whose sum is σ = 27705926669400. Its totient is φ = 5238228106752.

The previous prime is 13144434340417. The next prime is 13144434340441. The reversal of 13144434340420 is 2404343444131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 502825646404 + 12641608694016 = 709102^2 + 3555504^2 .

It is a super-2 number, since 2×13144434340420² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13144434340420.

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, 1221596325 + ... + 1221607084.

It is an arithmetic number, because the mean of its divisors is an integer number (1154413611225).

Almost surely, 2^{13144434340420} is an apocalyptic number.

13144434340420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144434340420 is an abundant number, since it is smaller than the sum of its proper divisors (14561492328980).

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

13144434340420 is a wasteful number, since it uses less digits than its factorization.

13144434340420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443203687 (or 2443203685 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 13144434340420 its reverse (2404343444131), we get a palindrome (15548777784551).

The spelling of 13144434340420 in words is "thirteen trillion, one hundred forty-four billion, four hundred thirty-four million, three hundred forty thousand, four hundred twenty".