13405535242420 has 24 divisors (see below), whose sum is σ = 28151731024200. Its totient is φ = 5362193713152.

The previous prime is 13405535242409. The next prime is 13405535242423. The reversal of 13405535242420 is 2424253550431.

It can be written as a sum of positive squares in 4 ways, for example, as 6957978288804 + 6447556953616 = 2637798^2 + 2539204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405535242423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4832736 + ... + 7082824.

It is an arithmetic number, because the mean of its divisors is an integer number (1172988792675).

Almost surely, 2^{13405535242420} is an apocalyptic number.

13405535242420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405535242420 is an abundant number, since it is smaller than the sum of its proper divisors (14746195781780).

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

13405535242420 is a wasteful number, since it uses less digits than its factorization.

13405535242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547987 (or 2547985 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 13405535242420 its reverse (2424253550431), we get a palindrome (15829788792851).

The spelling of 13405535242420 in words is "thirteen trillion, four hundred five billion, five hundred thirty-five million, two hundred forty-two thousand, four hundred twenty".