41204311340214 has 128 divisors (see below), whose sum is σ = 93965325834240. Its totient is φ = 11934040435200.

The previous prime is 41204311340201. The next prime is 41204311340243.

It is a happy number.

41204311340214 is nontrivially palindromic in base 10.

41204311340214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114968707 + ... + 115326545.

It is an arithmetic number, because the mean of its divisors is an integer number (734104108080).

Almost surely, 2^{41204311340214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41204311340214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46982662917120).

41204311340214 is an abundant number, since it is smaller than the sum of its proper divisors (52761014494026).

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

41204311340214 is a wasteful number, since it uses less digits than its factorization.

41204311340214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358726.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4120431 and 1340214, that added together give a palindrome (5460645).

The spelling of 41204311340214 in words is "forty-one trillion, two hundred four billion, three hundred eleven million, three hundred forty thousand, two hundred fourteen".