42200935200 has 378 divisors, whose sum is σ = 155040238899. Its totient is φ = 11211747840.

The previous prime is 42200935193. The next prime is 42200935213. The reversal of 42200935200 is 253900224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42200935200 is a `hidden beast` number, since 422 + 0 + 0 + 9 + 35 + 200 = 666.

42200935200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 580039056 + 41620896144 = 24084^2 + 204012^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145260.

It is a super-3 number, since 3×42200935200³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 62 ways as a sum of consecutive naturals, for example, 156880666 + ... + 156880934.

Almost surely, 2^42200935200 is an apocalyptic number.

42200935200 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 42200935200

42200935200 is an abundant number, since it is smaller than the sum of its proper divisors (112839303699).

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

42200935200 is an frugal number, since it uses more digits than its factorization.

42200935200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 42200935200 in words is "forty-two billion, two hundred million, nine hundred thirty-five thousand, two hundred".