41221566512214 has 256 divisors, whose sum is σ = 95066158104576. Its totient is φ = 11804355763200.

The previous prime is 41221566512183. The next prime is 41221566512249.

41221566512214 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×41221566512214² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 15479370247 + ... + 15479372909.

It is an arithmetic number, because the mean of its divisors is an integer number (371352180096).

Almost surely, 2^{41221566512214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41221566512214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47533079052288).

41221566512214 is an abundant number, since it is smaller than the sum of its proper divisors (53844591592362).

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

41221566512214 is a wasteful number, since it uses less digits than its factorization.

41221566512214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083.

The product of its digits is 230400, while the sum is 42.

The spelling of 41221566512214 in words is "forty-one trillion, two hundred twenty-one billion, five hundred sixty-six million, five hundred twelve thousand, two hundred fourteen".