104414141304 has 192 divisors, whose sum is σ = 326884896000. Its totient is φ = 29757404160.

The previous prime is 104414141263. The next prime is 104414141333. The reversal of 104414141304 is 403141414401.

104414141304 is a `hidden beast` number, since 104 + 4 + 141 + 413 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29336277 + ... + 29339835.

It is an arithmetic number, because the mean of its divisors is an integer number (1702525500).

Almost surely, 2^104414141304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104414141304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163442448000).

104414141304 is an abundant number, since it is smaller than the sum of its proper divisors (222470754696).

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

104414141304 is a wasteful number, since it uses less digits than its factorization.

104414141304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 104414141304 its reverse (403141414401), we get a palindrome (507555555705).

The spelling of 104414141304 in words is "one hundred four billion, four hundred fourteen million, one hundred forty-one thousand, three hundred four".