42033104344 has 96 divisors (see below), whose sum is σ = 100165671360. Its totient is φ = 16351675200.

The previous prime is 42033104341. The next prime is 42033104359. The reversal of 42033104344 is 44340133024.

42033104344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033104341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2972539 + ... + 2986645.

It is an arithmetic number, because the mean of its divisors is an integer number (1043392410).

Almost surely, 2^42033104344 is an apocalyptic number.

42033104344 is a gapful number since it is divisible by the number (44) 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 42033104344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50082835680).

42033104344 is an abundant number, since it is smaller than the sum of its proper divisors (58132567016).

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

42033104344 is a wasteful number, since it uses less digits than its factorization.

42033104344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14829 (or 14818 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42033104344 its reverse (44340133024), we get a palindrome (86373237368).

The spelling of 42033104344 in words is "forty-two billion, thirty-three million, one hundred four thousand, three hundred forty-four".