34200440225301 has 32 divisors (see below), whose sum is σ = 53358924377088. Its totient is φ = 19077166080000.

The previous prime is 34200440225257. The next prime is 34200440225351. The reversal of 34200440225301 is 10352204400243.

It is not a de Polignac number, because 34200440225301 - 2⁹ = 34200440224789 is a prime.

It is a super-2 number, since 2×34200440225301² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200440225351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9854700 + ... + 12865301.

It is an arithmetic number, because the mean of its divisors is an integer number (1667466386784).

Almost surely, 2^{34200440225301} is an apocalyptic number.

It is an amenable number.

34200440225301 is a deficient number, since it is larger than the sum of its proper divisors (19158484151787).

34200440225301 is a wasteful number, since it uses less digits than its factorization.

34200440225301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22721721.

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34200440225301 its reverse (10352204400243), we get a palindrome (44552644625544).

The spelling of 34200440225301 in words is "thirty-four trillion, two hundred billion, four hundred forty million, two hundred twenty-five thousand, three hundred one".