104042441233120 has 192 divisors, whose sum is σ = 276616846001664. Its totient is φ = 36692235233280.

The previous prime is 104042441233067. The next prime is 104042441233139. The reversal of 104042441233120 is 21332144240401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31483779 + ... + 34631101.

It is an arithmetic number, because the mean of its divisors is an integer number (1440712739592).

Almost surely, 2^{104042441233120} is an apocalyptic number.

104042441233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104042441233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138308423000832).

104042441233120 is an abundant number, since it is smaller than the sum of its proper divisors (172574404768544).

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

104042441233120 is a wasteful number, since it uses less digits than its factorization.

104042441233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148065 (or 3148057 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 104042441233120 its reverse (21332144240401), we get a palindrome (125374585473521).

The spelling of 104042441233120 in words is "one hundred four trillion, forty-two billion, four hundred forty-one million, two hundred thirty-three thousand, one hundred twenty".