41634564212214 has 96 divisors (see below), whose sum is σ = 92791701999360. Its totient is φ = 13481919671616.

The previous prime is 41634564212209. The next prime is 41634564212231. The reversal of 41634564212214 is 41221246543614.

41634564212214 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 4 + 5 + 6 + 421 + 2 + 214 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41634564212214.

It is a congruent number.

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, 1655634789 + ... + 1655659935.

It is an arithmetic number, because the mean of its divisors is an integer number (966580229160).

Almost surely, 2^{41634564212214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41634564212214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46395850999680).

41634564212214 is an abundant number, since it is smaller than the sum of its proper divisors (51157137787146).

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

41634564212214 is a wasteful number, since it uses less digits than its factorization.

41634564212214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28994 (or 28991 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 41634564212214 in words is "forty-one trillion, six hundred thirty-four billion, five hundred sixty-four million, two hundred twelve thousand, two hundred fourteen".