34042213410201 has 24 divisors (see below), whose sum is σ = 50219309147904. Its totient is φ = 22211494591680.

The previous prime is 34042213410197. The next prime is 34042213410211. The reversal of 34042213410201 is 10201431224043.

34042213410201 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 221 + 3 + 410 + 20 + 1 = 666.

It is not a de Polignac number, because 34042213410201 - 2² = 34042213410197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34042213410211) 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, 20972925 + ... + 22537701.

It is an arithmetic number, because the mean of its divisors is an integer number (2092471214496).

Almost surely, 2^{34042213410201} is an apocalyptic number.

It is an amenable number.

34042213410201 is a deficient number, since it is larger than the sum of its proper divisors (16177095737703).

34042213410201 is a wasteful number, since it uses less digits than its factorization.

34042213410201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616261 (or 1616258 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34042213410201 its reverse (10201431224043), we get a palindrome (44243644634244).

The spelling of 34042213410201 in words is "thirty-four trillion, forty-two billion, two hundred thirteen million, four hundred ten thousand, two hundred one".