13442007384520 has 192 divisors, whose sum is σ = 36476704902960. Its totient is φ = 4426869258240.

The previous prime is 13442007384437. The next prime is 13442007384521. The reversal of 13442007384520 is 2548370024431.

It can be written as a sum of positive squares in 8 ways, for example, as 6305191308196 + 7136816076324 = 2511014^2 + 2671482^2 .

It is a super-2 number, since 2×13442007384520² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13442007384521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1319322 + ... + 5350198.

Almost surely, 2^{13442007384520} is an apocalyptic number.

13442007384520 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 13442007384520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18238352451480).

13442007384520 is an abundant number, since it is smaller than the sum of its proper divisors (23034697518440).

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

13442007384520 is a wasteful number, since it uses less digits than its factorization.

13442007384520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030976 (or 4030961 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 13442007384520 in words is "thirteen trillion, four hundred forty-two billion, seven million, three hundred eighty-four thousand, five hundred twenty".