42008334430000 has 400 divisors, whose sum is σ = 112510694053120. Its totient is φ = 15128394624000.

The previous prime is 42008334429983. The next prime is 42008334430001. The reversal of 42008334430000 is 3443380024.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (42008334430001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 302220517 + ... + 302359483.

Almost surely, 2^{42008334430000} is an apocalyptic number.

42008334430000 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 42008334430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56255347026560).

42008334430000 is an abundant number, since it is smaller than the sum of its proper divisors (70502359623120).

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

42008334430000 is a wasteful number, since it uses less digits than its factorization.

42008334430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139094 (or 139073 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The spelling of 42008334430000 in words is "forty-two trillion, eight billion, three hundred thirty-four million, four hundred thirty thousand".