334201304042244 has 144 divisors (see below), whose sum is σ = 871900800825600. Its totient is φ = 107877679400448.

The previous prime is 334201304042201. The next prime is 334201304042257. The reversal of 334201304042244 is 442240403102433.

334201304042244 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 0 + 1 + 3 + 0 + 404 + 2 + 244 = 666.

It is a super-2 number, since 2×334201304042244² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334201304042199 and 334201304042208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145323702 + ... + 147605490.

It is an arithmetic number, because the mean of its divisors is an integer number (6054866672400).

Almost surely, 2^{334201304042244} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334201304042244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435950400412800).

334201304042244 is an abundant number, since it is smaller than the sum of its proper divisors (537699496783356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

334201304042244 is a wasteful number, since it uses less digits than its factorization.

334201304042244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282762 (or 2282757 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 334201304042244 its reverse (442240403102433), we get a palindrome (776441707144677).

The spelling of 334201304042244 in words is "three hundred thirty-four trillion, two hundred one billion, three hundred four million, forty-two thousand, two hundred forty-four".