41827688672814 has 96 divisors (see below), whose sum is σ = 103287220489440. Its totient is φ = 12116817888000.

The previous prime is 41827688672767. The next prime is 41827688672821.

41827688672814 is a `hidden beast` number, since 4 + 18 + 276 + 8 + 8 + 67 + 281 + 4 = 666.

41827688672814 is nontrivially palindromic in base 10.

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, 35482017 + ... + 36641900.

It is an arithmetic number, because the mean of its divisors is an integer number (1075908546765).

Almost surely, 2^{41827688672814} is an apocalyptic number.

41827688672814 is an abundant number, since it is smaller than the sum of its proper divisors (61459531816626).

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

41827688672814 is a wasteful number, since it uses less digits than its factorization.

41827688672814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72124066 (or 72124063 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 72.

The spelling of 41827688672814 in words is "forty-one trillion, eight hundred twenty-seven billion, six hundred eighty-eight million, six hundred seventy-two thousand, eight hundred fourteen".