42002133200 has 30 divisors (see below), whose sum is σ = 100910125974. Its totient is φ = 16800853120.

The previous prime is 42002133163. The next prime is 42002133263. The reversal of 42002133200 is 233120024.

It can be written as a sum of positive squares in 3 ways, for example, as 5012073616 + 36990059584 = 70796^2 + 192328^2 .

It is a super-3 number, since 3×42002133200³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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, 52502267 + ... + 52503066.

Almost surely, 2^42002133200 is an apocalyptic number.

42002133200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002133200 is an abundant number, since it is smaller than the sum of its proper divisors (58907992774).

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

42002133200 is a wasteful number, since it uses less digits than its factorization.

42002133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105005351 (or 105005340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 42002133200 its reverse (233120024), we get a palindrome (42235253224).

The spelling of 42002133200 in words is "forty-two billion, two million, one hundred thirty-three thousand, two hundred".