34242212420241 has 128 divisors (see below), whose sum is σ = 54386293985280. Its totient is φ = 18761932800000.

The previous prime is 34242212420233. The next prime is 34242212420279. The reversal of 34242212420241 is 14202421224243.

It is not a de Polignac number, because 34242212420241 - 2³ = 34242212420233 is a prime.

It is a super-2 number, since 2×34242212420241² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34242212422241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10532822866 + ... + 10532826116.

It is an arithmetic number, because the mean of its divisors is an integer number (424892921760).

Almost surely, 2^{34242212420241} is an apocalyptic number.

It is an amenable number.

34242212420241 is a deficient number, since it is larger than the sum of its proper divisors (20144081565039).

34242212420241 is a wasteful number, since it uses less digits than its factorization.

34242212420241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 34242212420241 its reverse (14202421224243), we get a palindrome (48444633644484).

The spelling of 34242212420241 in words is "thirty-four trillion, two hundred forty-two billion, two hundred twelve million, four hundred twenty thousand, two hundred forty-one".