42213431200 has 72 divisors (see below), whose sum is σ = 103211206560. Its totient is φ = 16859539200.

The previous prime is 42213431189. The next prime is 42213431201. The reversal of 42213431200 is 213431224.

42213431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42213431201) 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, 487165 + ... + 567235.

It is an arithmetic number, because the mean of its divisors is an integer number (1433488980).

Almost surely, 2^42213431200 is an apocalyptic number.

42213431200 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 42213431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51605603280).

42213431200 is an abundant number, since it is smaller than the sum of its proper divisors (60997775360).

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

42213431200 is a wasteful number, since it uses less digits than its factorization.

42213431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80750 (or 80737 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 42213431200 its reverse (213431224), we get a palindrome (42426862424).

The spelling of 42213431200 in words is "forty-two billion, two hundred thirteen million, four hundred thirty-one thousand, two hundred".