544413133242 has 192 divisors, whose sum is σ = 1353075010560. Its totient is φ = 156733056000.

The previous prime is 544413133211. The next prime is 544413133261. The reversal of 544413133242 is 242331314445.

544413133242 is a `hidden beast` number, since 544 + 41 + 3 + 1 + 3 + 32 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 544413133197 and 544413133206.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54009559 + ... + 54019637.

It is an arithmetic number, because the mean of its divisors is an integer number (7047265680).

Almost surely, 2^544413133242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544413133242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676537505280).

544413133242 is an abundant number, since it is smaller than the sum of its proper divisors (808661877318).

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

544413133242 is a wasteful number, since it uses less digits than its factorization.

544413133242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10309 (or 10306 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 544413133242 its reverse (242331314445), we get a palindrome (786744447687).

The spelling of 544413133242 in words is "five hundred forty-four billion, four hundred thirteen million, one hundred thirty-three thousand, two hundred forty-two".