42285058224 has 160 divisors (see below), whose sum is σ = 115598672640. Its totient is φ = 13299686400.

The previous prime is 42285058219. The next prime is 42285058237.

It is a happy number.

42285058224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42285058224³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12215854 + ... + 12219314.

It is an arithmetic number, because the mean of its divisors is an integer number (722491704).

Almost surely, 2^42285058224 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 42285058224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57799336320).

42285058224 is an abundant number, since it is smaller than the sum of its proper divisors (73313614416).

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

42285058224 is a wasteful number, since it uses less digits than its factorization.

42285058224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The spelling of 42285058224 in words is "forty-two billion, two hundred eighty-five million, fifty-eight thousand, two hundred twenty-four".