42421183200 has 432 divisors, whose sum is σ = 163695679056. Its totient is φ = 10251878400.

The previous prime is 42421183159. The next prime is 42421183229. The reversal of 42421183200 is 238112424.

42421183200 is a `hidden beast` number, since 42 + 421 + 183 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34292982 + ... + 34294218.

It is an arithmetic number, because the mean of its divisors is an integer number (378925183).

Almost surely, 2^42421183200 is an apocalyptic number.

42421183200 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 42421183200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81847839528).

42421183200 is an abundant number, since it is smaller than the sum of its proper divisors (121274495856).

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

42421183200 is a wasteful number, since it uses less digits than its factorization.

42421183200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42421183200 its reverse (238112424), we get a palindrome (42659295624).

The spelling of 42421183200 in words is "forty-two billion, four hundred twenty-one million, one hundred eighty-three thousand, two hundred".