42209651250 has 270 divisors, whose sum is σ = 124584406947. Its totient is φ = 10320336000.

The previous prime is 42209651227. The next prime is 42209651251. The reversal of 42209651250 is 5215690224.

42209651250 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 96 + 512 + 50 = 666.

It can be written as a sum of positive squares in 23 ways, for example, as 37904585481 + 4305065769 = 194691^2 + 65613^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145275.

It is a super-3 number, since 3×42209651250³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42209651251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 283286176 + ... + 283286324.

Almost surely, 2^42209651250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42209651250

42209651250 is an abundant number, since it is smaller than the sum of its proper divisors (82374755697).

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

42209651250 is a wasteful number, since it uses less digits than its factorization.

42209651250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 42209651250 in words is "forty-two billion, two hundred nine million, six hundred fifty-one thousand, two hundred fifty".