42002141200 has 30 divisors (see below), whose sum is σ = 100910145194. Its totient is φ = 16800856320.

The previous prime is 42002141191. The next prime is 42002141227. The reversal of 42002141200 is 214120024.

It can be written as a sum of positive squares in 3 ways, for example, as 444872464 + 41557268736 = 21092^2 + 203856^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 52502277 + ... + 52503076.

Almost surely, 2^42002141200 is an apocalyptic number.

42002141200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002141200 is an abundant number, since it is smaller than the sum of its proper divisors (58908003994).

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

42002141200 is a wasteful number, since it uses less digits than its factorization.

42002141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105005371 (or 105005360 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 42002141200 its reverse (214120024), we get a palindrome (42216261224).

The spelling of 42002141200 in words is "forty-two billion, two million, one hundred forty-one thousand, two hundred".