334041010434 has 96 divisors (see below), whose sum is σ = 773860230000. Its totient is φ = 103768584192.

The previous prime is 334041010423. The next prime is 334041010547. The reversal of 334041010434 is 434010140433.

It can be written as a sum of positive squares in 8 ways, for example, as 262108161225 + 71932849209 = 511965^2 + 268203^2 .

It is a super-2 number, since 2×334041010434² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334041010398 and 334041010407.

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, 85017382 + ... + 85021310.

Almost surely, 2^334041010434 is an apocalyptic number.

334041010434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334041010434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386930115000).

334041010434 is an abundant number, since it is smaller than the sum of its proper divisors (439819219566).

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

334041010434 is a wasteful number, since it uses less digits than its factorization.

334041010434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 334041010434 its reverse (434010140433), we get a palindrome (768051150867).

The spelling of 334041010434 in words is "three hundred thirty-four billion, forty-one million, ten thousand, four hundred thirty-four".