42264046224 has 60 divisors (see below), whose sum is σ = 118575755532. Its totient is φ = 14052864000.

The previous prime is 42264046219. The next prime is 42264046241.

42264046224 is a `hidden beast` number, since 4 + 2 + 2 + 640 + 4 + 6 + 2 + 2 + 4 = 666.

42264046224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 31947987600 + 10316058624 = 178740^2 + 101568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308217 + ... + 423704.

Almost surely, 2^42264046224 is an apocalyptic number.

It is an amenable number.

42264046224 is an abundant number, since it is smaller than the sum of its proper divisors (76311709308).

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

42264046224 is a wasteful number, since it uses less digits than its factorization.

42264046224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732336 (or 732327 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 422640 and 46224, that added together give a palindrome (468864).

The spelling of 42264046224 in words is "forty-two billion, two hundred sixty-four million, forty-six thousand, two hundred twenty-four".