42421217280 has 288 divisors, whose sum is σ = 146975381280. Its totient is φ = 10440867840.

The previous prime is 42421217231. The next prime is 42421217281. The reversal of 42421217280 is 8271212424.

It is not an unprimeable number, because it can be changed into a prime (42421217281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5187595 + ... + 5195765.

It is an arithmetic number, because the mean of its divisors is an integer number (510331185).

Almost surely, 2^42421217280 is an apocalyptic number.

42421217280 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 42421217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73487690640).

42421217280 is an abundant number, since it is smaller than the sum of its proper divisors (104554164000).

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

42421217280 is a wasteful number, since it uses less digits than its factorization.

42421217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 42421217280 in words is "forty-two billion, four hundred twenty-one million, two hundred seventeen thousand, two hundred eighty".