334421141124433 has 48 divisors (see below), whose sum is σ = 390077775174528. Its totient is φ = 285498179366400.

The previous prime is 334421141124347. The next prime is 334421141124463.

334421141124433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334421141124433 - 2²⁹ = 334420604253521 is a prime.

It is a super-2 number, since 2×334421141124433² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334421141124463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1753453948 + ... + 1753644658.

It is an arithmetic number, because the mean of its divisors is an integer number (8126620316136).

Almost surely, 2^{334421141124433} is an apocalyptic number.

It is an amenable number.

334421141124433 is a deficient number, since it is larger than the sum of its proper divisors (55656634050095).

334421141124433 is a wasteful number, since it uses less digits than its factorization.

334421141124433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192646 (or 192635 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 334421141124433 in words is "three hundred thirty-four trillion, four hundred twenty-one billion, one hundred forty-one million, one hundred twenty-four thousand, four hundred thirty-three".