42209242880 has 432 divisors, whose sum is σ = 128647201536. Its totient is φ = 13170769920.

The previous prime is 42209242811. The next prime is 42209242903. The reversal of 42209242880 is 8824290224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33052802 + ... + 33054078.

It is an arithmetic number, because the mean of its divisors is an integer number (297794448).

Almost surely, 2^42209242880 is an apocalyptic number.

42209242880 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 42209242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64323600768).

42209242880 is an abundant number, since it is smaller than the sum of its proper divisors (86437958656).

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

42209242880 is a wasteful number, since it uses less digits than its factorization.

42209242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 42209242880 in words is "forty-two billion, two hundred nine million, two hundred forty-two thousand, eight hundred eighty".