42286260200 has 144 divisors (see below), whose sum is σ = 103147109100. Its totient is φ = 16112409600.

The previous prime is 42286260197. The next prime is 42286260239. The reversal of 42286260200 is 206268224.

It can be written as a sum of positive squares in 6 ways, for example, as 7234182916 + 35052077284 = 85054^2 + 187222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15160406 + ... + 15163194.

Almost surely, 2^42286260200 is an apocalyptic number.

42286260200 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 42286260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51573554550).

42286260200 is an abundant number, since it is smaller than the sum of its proper divisors (60860848900).

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

42286260200 is a wasteful number, since it uses less digits than its factorization.

42286260200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 42286260200 in words is "forty-two billion, two hundred eighty-six million, two hundred sixty thousand, two hundred".