13142443432240 has 80 divisors (see below), whose sum is σ = 31618773902880. Its totient is φ = 5074268129280.

The previous prime is 13142443432201. The next prime is 13142443432259. The reversal of 13142443432240 is 4223434424131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13142443432240² (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 13142443432240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7430500 + ... + 9027580.

It is an arithmetic number, because the mean of its divisors is an integer number (395234673786).

Almost surely, 2^{13142443432240} is an apocalyptic number.

13142443432240 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 13142443432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809386951440).

13142443432240 is an abundant number, since it is smaller than the sum of its proper divisors (18476330470640).

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

13142443432240 is a wasteful number, since it uses less digits than its factorization.

13142443432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600670 (or 1600664 counting only the distinct ones).

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

Adding to 13142443432240 its reverse (4223434424131), we get a palindrome (17365877856371).

The spelling of 13142443432240 in words is "thirteen trillion, one hundred forty-two billion, four hundred forty-three million, four hundred thirty-two thousand, two hundred forty".