42009105600 has 1344 divisors, whose sum is σ = 194660398080. Its totient is φ = 8559820800.

The previous prime is 42009105599. The next prime is 42009105631. The reversal of 42009105600 is 650190024.

42009105600 is a `hidden beast` number, since 42 + 0 + 0 + 9 + 10 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242827114 + ... + 242827286.

Almost surely, 2^42009105600 is an apocalyptic number.

42009105600 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 42009105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97330199040).

42009105600 is an abundant number, since it is smaller than the sum of its proper divisors (152651292480).

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

42009105600 is a wasteful number, since it uses less digits than its factorization.

42009105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 42009105600 its reverse (650190024), we get a palindrome (42659295624).

The spelling of 42009105600 in words is "forty-two billion, nine million, one hundred five thousand, six hundred".