42413055444 has 144 divisors (see below), whose sum is σ = 114549926400. Its totient is φ = 13193243712.

The previous prime is 42413055403. The next prime is 42413055457. The reversal of 42413055444 is 44455031424.

42413055444 is a `hidden beast` number, since 42 + 41 + 30 + 5 + 544 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42413055399 and 42413055408.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23786577 + ... + 23788359.

It is an arithmetic number, because the mean of its divisors is an integer number (795485600).

Almost surely, 2^42413055444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42413055444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57274963200).

42413055444 is an abundant number, since it is smaller than the sum of its proper divisors (72136870956).

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

42413055444 is a wasteful number, since it uses less digits than its factorization.

42413055444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 42413055444 its reverse (44455031424), we get a palindrome (86868086868).

The spelling of 42413055444 in words is "forty-two billion, four hundred thirteen million, fifty-five thousand, four hundred forty-four".