41466577566414 has 128 divisors (see below), whose sum is σ = 111358246745088. Its totient is φ = 9941372559360.

The previous prime is 41466577566389. The next prime is 41466577566509.

41466577566414 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×41466577566414³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92828142 + ... + 93273774.

It is an arithmetic number, because the mean of its divisors is an integer number (869986302696).

Almost surely, 2^{41466577566414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41466577566414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55679123372544).

41466577566414 is an abundant number, since it is smaller than the sum of its proper divisors (69891669178674).

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

41466577566414 is a wasteful number, since it uses less digits than its factorization.

41466577566414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461162.

The product of its digits is 406425600, while the sum is 66.

The spelling of 41466577566414 in words is "forty-one trillion, four hundred sixty-six billion, five hundred seventy-seven million, five hundred sixty-six thousand, four hundred fourteen".