42004033344 has 252 divisors, whose sum is σ = 148997493216. Its totient is φ = 11077807104.

The previous prime is 42004033301. The next prime is 42004033349. The reversal of 42004033344 is 44333040024.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004033349) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 650587 + ... + 712229.

Almost surely, 2^42004033344 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 42004033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74498746608).

42004033344 is an abundant number, since it is smaller than the sum of its proper divisors (106993459872).

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

42004033344 is a wasteful number, since it uses less digits than its factorization.

42004033344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61694 (or 61668 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42004033344 its reverse (44333040024), we get a palindrome (86337073368).

The spelling of 42004033344 in words is "forty-two billion, four million, thirty-three thousand, three hundred forty-four".