334414041211221 has 64 divisors (see below), whose sum is σ = 493607828520960. Its totient is φ = 200651761854720.

The previous prime is 334414041211169. The next prime is 334414041211331. The reversal of 334414041211221 is 122112140414433.

It is not a de Polignac number, because 334414041211221 - 2⁹ = 334414041210709 is a prime.

It is a super-2 number, since 2×334414041211221² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334414041411221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111135795 + ... + 114105183.

It is an arithmetic number, because the mean of its divisors is an integer number (7712622320640).

Almost surely, 2^{334414041211221} is an apocalyptic number.

334414041211221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

334414041211221 is a deficient number, since it is larger than the sum of its proper divisors (159193787309739).

334414041211221 is a wasteful number, since it uses less digits than its factorization.

334414041211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970906.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 334414041211221 its reverse (122112140414433), we get a palindrome (456526181625654).

The spelling of 334414041211221 in words is "three hundred thirty-four trillion, four hundred fourteen billion, forty-one million, two hundred eleven thousand, two hundred twenty-one".