42124433200 has 60 divisors (see below), whose sum is σ = 103672380168. Its totient is φ = 16438796800.

The previous prime is 42124433129. The next prime is 42124433201. The reversal of 42124433200 is 233442124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42124433201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1267882 + ... + 1300681.

Almost surely, 2^42124433200 is an apocalyptic number.

42124433200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42124433200 is an abundant number, since it is smaller than the sum of its proper divisors (61547946968).

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

42124433200 is a wasteful number, since it uses less digits than its factorization.

42124433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568622 (or 2568611 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 42124433200 its reverse (233442124), we get a palindrome (42357875324).

The spelling of 42124433200 in words is "forty-two billion, one hundred twenty-four million, four hundred thirty-three thousand, two hundred".