334313413430130 has 448 divisors, whose sum is σ = 975477615275520. Its totient is φ = 82202422579200.

The previous prime is 334313413430093. The next prime is 334313413430189. The reversal of 334313413430130 is 31034314313433.

334313413430130 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 1 + 341 + 3 + 4 + 301 + 3 + 0 = 666.

It is a super-2 number, since 2×334313413430130² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3068138850 + ... + 3068247810.

It is an arithmetic number, because the mean of its divisors is an integer number (2177405391240).

Almost surely, 2^{334313413430130} is an apocalyptic number.

334313413430130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334313413430130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487738807637760).

334313413430130 is an abundant number, since it is smaller than the sum of its proper divisors (641164201845390).

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

334313413430130 is a wasteful number, since it uses less digits than its factorization.

334313413430130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109669 (or 109654 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 334313413430130 its reverse (31034314313433), we get a palindrome (365347727743563).

The spelling of 334313413430130 in words is "three hundred thirty-four trillion, three hundred thirteen billion, four hundred thirteen million, four hundred thirty thousand, one hundred thirty".