2444132313342 has 24 divisors (see below), whose sum is σ = 5478227600040. Its totient is φ = 786617296080.

The previous prime is 2444132313341. The next prime is 2444132313419. The reversal of 2444132313342 is 2433132314442.

2444132313342 is a `hidden beast` number, since 2 + 4 + 4 + 413 + 231 + 3 + 3 + 4 + 2 = 666.

2444132313342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2444132313297 and 2444132313306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444132313341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2341122384 + ... + 2341123427.

It is an arithmetic number, because the mean of its divisors is an integer number (228259483335).

Almost surely, 2^{2444132313342} is an apocalyptic number.

2444132313342 is an abundant number, since it is smaller than the sum of its proper divisors (3034095286698).

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

2444132313342 is a wasteful number, since it uses less digits than its factorization.

2444132313342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682245848 (or 4682245845 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 2444132313342 its reverse (2433132314442), we get a palindrome (4877264627784).

The spelling of 2444132313342 in words is "two trillion, four hundred forty-four billion, one hundred thirty-two million, three hundred thirteen thousand, three hundred forty-two".