42212320034304 has 640 divisors, whose sum is σ = 133456130260992. Its totient is φ = 11608885002240.

The previous prime is 42212320034281. The next prime is 42212320034321. The reversal of 42212320034304 is 40343002321224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5824795609 + ... + 5824802855.

Almost surely, 2^{42212320034304} 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 42212320034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66728065130496).

42212320034304 is an abundant number, since it is smaller than the sum of its proper divisors (91243810226688).

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

42212320034304 is a wasteful number, since it uses less digits than its factorization.

42212320034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 42212320034304 its reverse (40343002321224), we get a palindrome (82555322355528).

The spelling of 42212320034304 in words is "forty-two trillion, two hundred twelve billion, three hundred twenty million, thirty-four thousand, three hundred four".