42039104800 has 576 divisors, whose sum is σ = 133641446400. Its totient is φ = 12534681600.

The previous prime is 42039104791. The next prime is 42039104803. The reversal of 42039104800 is 840193024.

It is not an unprimeable number, because it can be changed into a prime (42039104803) 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 95 ways as a sum of consecutive naturals, for example, 156279066 + ... + 156279334.

It is an arithmetic number, because the mean of its divisors is an integer number (232016400).

Almost surely, 2^42039104800 is an apocalyptic number.

42039104800 is a gapful number since it is divisible by the number (40) 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 42039104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66820723200).

42039104800 is an abundant number, since it is smaller than the sum of its proper divisors (91602341600).

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

42039104800 is a wasteful number, since it uses less digits than its factorization.

42039104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 42039104800 its reverse (840193024), we get a palindrome (42879297824).

The spelling of 42039104800 in words is "forty-two billion, thirty-nine million, one hundred four thousand, eight hundred".