414202134033342 has 48 divisors (see below), whose sum is σ = 953516412969120. Its totient is φ = 129945767512128.

The previous prime is 414202134033301. The next prime is 414202134033349. The reversal of 414202134033342 is 243330431202414.

414202134033342 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 0 + 213 + 403 + 3 + 34 + 2 = 666.

It is a super-2 number, since 2×414202134033342² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414202134033297 and 414202134033306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414202134033349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2341783098 + ... + 2341959965.

It is an arithmetic number, because the mean of its divisors is an integer number (19864925270190).

Almost surely, 2^{414202134033342} is an apocalyptic number.

414202134033342 is an abundant number, since it is smaller than the sum of its proper divisors (539314278935778).

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

414202134033342 is a wasteful number, since it uses less digits than its factorization.

414202134033342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683743122 (or 4683743085 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 414202134033342 its reverse (243330431202414), we get a palindrome (657532565235756).

The spelling of 414202134033342 in words is "four hundred fourteen trillion, two hundred two billion, one hundred thirty-four million, thirty-three thousand, three hundred forty-two".