41401266210414 has 96 divisors (see below), whose sum is σ = 100523416646016. Its totient is φ = 12204201216960.

The previous prime is 41401266210371. The next prime is 41401266210427.

41401266210414 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 1 + 26 + 6 + 210 + 414 = 666.

41401266210414 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, 34479289 + ... + 35659835.

It is an arithmetic number, because the mean of its divisors is an integer number (1047118923396).

Almost surely, 2^{41401266210414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41401266210414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50261708323008).

41401266210414 is an abundant number, since it is smaller than the sum of its proper divisors (59122150435602).

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

41401266210414 is a wasteful number, since it uses less digits than its factorization.

41401266210414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185390 (or 1185387 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 41401266210414 in words is "forty-one trillion, four hundred one billion, two hundred sixty-six million, two hundred ten thousand, four hundred fourteen".