41214041134434 has 256 divisors, whose sum is σ = 109679638118400. Its totient is φ = 11225859724800.

The previous prime is 41214041134397. The next prime is 41214041134447. The reversal of 41214041134434 is 43443114041214.

41214041134434 is a `hidden beast` number, since 4 + 1 + 214 + 0 + 4 + 1 + 1 + 3 + 4 + 434 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 459579352 + ... + 459669020.

It is an arithmetic number, because the mean of its divisors is an integer number (428436086400).

Almost surely, 2^{41214041134434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41214041134434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54839819059200).

41214041134434 is an abundant number, since it is smaller than the sum of its proper divisors (68465596983966).

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

41214041134434 is a wasteful number, since it uses less digits than its factorization.

41214041134434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90406 (or 90400 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 41214041134434 its reverse (43443114041214), we get a palindrome (84657155175648).

The spelling of 41214041134434 in words is "forty-one trillion, two hundred fourteen billion, forty-one million, one hundred thirty-four thousand, four hundred thirty-four".