42231613200 has 240 divisors, whose sum is σ = 155477191680. Its totient is φ = 9598671360.

The previous prime is 42231613169. The next prime is 42231613201. The reversal of 42231613200 is 231613224.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (42231613201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489557 + ... + 1517643.

It is an arithmetic number, because the mean of its divisors is an integer number (647821632).

Almost surely, 2^42231613200 is an apocalyptic number.

42231613200 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 42231613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77738595840).

42231613200 is an abundant number, since it is smaller than the sum of its proper divisors (113245578480).

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

42231613200 is a wasteful number, since it uses less digits than its factorization.

42231613200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28294 (or 28283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42231613200 its sum of digits (24), we get a palindrome (42231613224).

The spelling of 42231613200 in words is "forty-two billion, two hundred thirty-one million, six hundred thirteen thousand, two hundred".