42542976000 has 1408 divisors, whose sum is σ = 183935232000. Its totient is φ = 8670412800.

The previous prime is 42542975999. The next prime is 42542976011. The reversal of 42542976000 is 67924524.

It is a self number, because there is not a number n which added to its sum of digits gives 42542976000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2239103991 + ... + 2239104009.

Almost surely, 2^42542976000 is an apocalyptic number.

42542976000 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 42542976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91967616000).

42542976000 is an abundant number, since it is smaller than the sum of its proper divisors (141392256000).

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

42542976000 is a wasteful number, since it uses less digits than its factorization.

42542976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 42542976000 in words is "forty-two billion, five hundred forty-two million, nine hundred seventy-six thousand".