42134451200 has 132 divisors (see below), whose sum is σ = 105621638220. Its totient is φ = 16663511040.

The previous prime is 42134451197. The next prime is 42134451209. The reversal of 42134451200 is 215443124.

It can be written as a sum of positive squares in 6 ways, for example, as 5110534144 + 37023917056 = 71488^2 + 192416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42134451200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134451209) 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, 2269154 + ... + 2287646.

Almost surely, 2^42134451200 is an apocalyptic number.

42134451200 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 42134451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52810819110).

42134451200 is an abundant number, since it is smaller than the sum of its proper divisors (63487187020).

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

42134451200 is a wasteful number, since it uses less digits than its factorization.

42134451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18612 (or 18589 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 42134451200 its reverse (215443124), we get a palindrome (42349894324).

The spelling of 42134451200 in words is "forty-two billion, one hundred thirty-four million, four hundred fifty-one thousand, two hundred".