41313366331314 has 128 divisors (see below), whose sum is σ = 106355230654464. Its totient is φ = 10382929920000.

The previous prime is 41313366331231. The next prime is 41313366331333.

41313366331314 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 90530914 + ... + 90986114.

It is an arithmetic number, because the mean of its divisors is an integer number (830900239488).

Almost surely, 2^{41313366331314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41313366331314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53177615327232).

41313366331314 is an abundant number, since it is smaller than the sum of its proper divisors (65041864323150).

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

41313366331314 is a wasteful number, since it uses less digits than its factorization.

41313366331314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461592.

The product of its digits is 419904, while the sum is 42.

The spelling of 41313366331314 in words is "forty-one trillion, three hundred thirteen billion, three hundred sixty-six million, three hundred thirty-one thousand, three hundred fourteen".