42205250224 has 80 divisors (see below), whose sum is σ = 86000209920. Its totient is φ = 20037346560.

The previous prime is 42205250207. The next prime is 42205250239.

42205250224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42205250192 and 42205250201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15251689 + ... + 15254455.

It is an arithmetic number, because the mean of its divisors is an integer number (1075002624).

Almost surely, 2^42205250224 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 42205250224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43000104960).

42205250224 is an abundant number, since it is smaller than the sum of its proper divisors (43794959696).

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

42205250224 is a wasteful number, since it uses less digits than its factorization.

42205250224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The spelling of 42205250224 in words is "forty-two billion, two hundred five million, two hundred fifty thousand, two hundred twenty-four".