34014042235201 has 12 divisors (see below), whose sum is σ = 39600300663300. Its totient is φ = 29130617779200.

The previous prime is 34014042235169. The next prime is 34014042235321. The reversal of 34014042235201 is 10253224041043.

It can be written as a sum of positive squares in 2 ways, for example, as 577904040000 + 33436138195201 = 760200^2 + 5782399^2 .

It is not a de Polignac number, because 34014042235201 - 2⁵ = 34014042235169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34014042233201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288935376 + ... + 289053073.

It is an arithmetic number, because the mean of its divisors is an integer number (3300025055275).

Almost surely, 2^{34014042235201} is an apocalyptic number.

It is an amenable number.

34014042235201 is a deficient number, since it is larger than the sum of its proper divisors (5586258428099).

34014042235201 is a wasteful number, since it uses less digits than its factorization.

34014042235201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577989664 (or 577989657 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 34014042235201 its reverse (10253224041043), we get a palindrome (44267266276244).

The spelling of 34014042235201 in words is "thirty-four trillion, fourteen billion, forty-two million, two hundred thirty-five thousand, two hundred one".