334121413413201 has 32 divisors (see below), whose sum is σ = 468823970746368. Its totient is φ = 211251968484480.

The previous prime is 334121413413169. The next prime is 334121413413211. The reversal of 334121413413201 is 102314314121433.

It is a happy number.

It is not a de Polignac number, because 334121413413201 - 2⁵ = 334121413413169 is a prime.

It is a super-2 number, since 2×334121413413201² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334121413413211) 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, 13552105 + ... + 29187366.

It is an arithmetic number, because the mean of its divisors is an integer number (14650749085824).

Almost surely, 2^{334121413413201} is an apocalyptic number.

It is an amenable number.

334121413413201 is a deficient number, since it is larger than the sum of its proper divisors (134702557333167).

334121413413201 is a wasteful number, since it uses less digits than its factorization.

334121413413201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42740461.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 334121413413201 its reverse (102314314121433), we get a palindrome (436435727534634).

The spelling of 334121413413201 in words is "three hundred thirty-four trillion, one hundred twenty-one billion, four hundred thirteen million, four hundred thirteen thousand, two hundred one".