41276344367214 has 128 divisors (see below), whose sum is σ = 100203177600000. Its totient is φ = 12490578172800.

The previous prime is 41276344367191. The next prime is 41276344367221.

It is a happy number.

41276344367214 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 63 + 4 + 4 + 367 + 214 = 666.

41276344367214 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 1989306912 + ... + 1989327660.

It is an arithmetic number, because the mean of its divisors is an integer number (782837325000).

Almost surely, 2^{41276344367214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41276344367214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50101588800000).

41276344367214 is an abundant number, since it is smaller than the sum of its proper divisors (58926833232786).

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

41276344367214 is a wasteful number, since it uses less digits than its factorization.

41276344367214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25271 (or 25265 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 41276344367214 in words is "forty-one trillion, two hundred seventy-six billion, three hundred forty-four million, three hundred sixty-seven thousand, two hundred fourteen".