41415051414 has 64 divisors (see below), whose sum is σ = 91392261120. Its totient is φ = 12407040000.

The previous prime is 41415051397. The next prime is 41415051451.

41415051414 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 4788534 + ... + 4797174.

It is an arithmetic number, because the mean of its divisors is an integer number (1428004080).

Almost surely, 2^41415051414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41415051414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696130560).

41415051414 is an abundant number, since it is smaller than the sum of its proper divisors (49977209706).

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

41415051414 is a wasteful number, since it uses less digits than its factorization.

41415051414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9477.

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 414150 and 51414, that added together give a palindrome (465564).

The spelling of 41415051414 in words is "forty-one billion, four hundred fifteen million, fifty-one thousand, four hundred fourteen".