42105735200 has 36 divisors (see below), whose sum is σ = 102790628010. Its totient is φ = 16842293760.

The previous prime is 42105735193. The next prime is 42105735247. The reversal of 42105735200 is 253750124.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24319778704 + 17785956496 = 155948^2 + 133364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26315285 + ... + 26316884.

Almost surely, 2^42105735200 is an apocalyptic number.

42105735200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42105735200 is an abundant number, since it is smaller than the sum of its proper divisors (60684892810).

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

42105735200 is a wasteful number, since it uses less digits than its factorization.

42105735200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52632189 (or 52632176 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The spelling of 42105735200 in words is "forty-two billion, one hundred five million, seven hundred thirty-five thousand, two hundred".