41414011041414 has 128 divisors (see below), whose sum is σ = 91688210380800. Its totient is φ = 12365599034880.

The previous prime is 41414011041409. The next prime is 41414011041419.

41414011041414 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (41414011041409) and next prime (41414011041419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41414011041419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9008918964 + ... + 9008923560.

It is an arithmetic number, because the mean of its divisors is an integer number (716314143600).

Almost surely, 2^{41414011041414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41414011041414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45844105190400).

41414011041414 is an abundant number, since it is smaller than the sum of its proper divisors (50274199339386).

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

41414011041414 is a wasteful number, since it uses less digits than its factorization.

41414011041414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838.

The product of its (nonzero) digits is 4096, while the sum is 30.

It can be divided in two parts, 4141401 and 1041414, that added together give a palindrome (5182815).

The spelling of 41414011041414 in words is "forty-one trillion, four hundred fourteen billion, eleven million, forty-one thousand, four hundred fourteen".