214200042 has 64 divisors (see below), whose sum is σ = 501811200. Its totient is φ = 59693760.

The previous prime is 214200029. The next prime is 214200059. The reversal of 214200042 is 240002412.

It is a junction number, because it is equal to n+sod(n) for n = 214199994 and 214200030.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324709 + ... + 325367.

It is an arithmetic number, because the mean of its divisors is an integer number (7840800).

Almost surely, 2^214200042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214200042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250905600).

214200042 is an abundant number, since it is smaller than the sum of its proper divisors (287611158).

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

214200042 is a wasteful number, since it uses less digits than its factorization.

214200042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 214200042 is about 14635.5745360406. The cubic root of 214200042 is about 598.3287212569.

Adding to 214200042 its reverse (240002412), we get a palindrome (454202454).

The spelling of 214200042 in words is "two hundred fourteen million, two hundred thousand, forty-two".