42231343200 has 144 divisors (see below), whose sum is σ = 138054820176. Its totient is φ = 11213209600.

The previous prime is 42231343181. The next prime is 42231343243. The reversal of 42231343200 is 234313224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521440 + ... + 596960.

It is an arithmetic number, because the mean of its divisors is an integer number (958714029).

Almost surely, 2^42231343200 is an apocalyptic number.

42231343200 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 42231343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69027410088).

42231343200 is an abundant number, since it is smaller than the sum of its proper divisors (95823476976).

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

42231343200 is a wasteful number, since it uses less digits than its factorization.

42231343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75777 (or 75764 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42231343200 its reverse (234313224), we get a palindrome (42465656424).

The spelling of 42231343200 in words is "forty-two billion, two hundred thirty-one million, three hundred forty-three thousand, two hundred".