42314342400 has 504 divisors, whose sum is σ = 165428456544. Its totient is φ = 10253107200.

The previous prime is 42314342393. The next prime is 42314342417. The reversal of 42314342400 is 424341324.

It is a happy number.

42314342400 is a `hidden beast` number, since 4 + 2 + 314 + 342 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20274157 + ... + 20276243.

Almost surely, 2^42314342400 is an apocalyptic number.

42314342400 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 42314342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82714228272).

42314342400 is an abundant number, since it is smaller than the sum of its proper divisors (123114114144).

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

42314342400 is a wasteful number, since it uses less digits than its factorization.

42314342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42314342400 its reverse (424341324), we get a palindrome (42738683724).

The spelling of 42314342400 in words is "forty-two billion, three hundred fourteen million, three hundred forty-two thousand, four hundred".