42013245200 has 30 divisors (see below), whose sum is σ = 100936822554. Its totient is φ = 16805297920.

The previous prime is 42013245199. The next prime is 42013245203. The reversal of 42013245200 is 254231024.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 482065936 + 41531179264 = 21956^2 + 203792^2 .

It is a super-2 number, since 2×42013245200² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42013245203) 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 5 ways as a sum of consecutive naturals, for example, 52516157 + ... + 52516956.

Almost surely, 2^42013245200 is an apocalyptic number.

42013245200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42013245200 is an abundant number, since it is smaller than the sum of its proper divisors (58923577354).

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

42013245200 is a wasteful number, since it uses less digits than its factorization.

42013245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105033131 (or 105033120 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 42013245200 its reverse (254231024), we get a palindrome (42267476224).

The spelling of 42013245200 in words is "forty-two billion, thirteen million, two hundred forty-five thousand, two hundred".