104421444441312 has 48 divisors (see below), whose sum is σ = 277408777121280. Its totient is φ = 34387784913792.

The previous prime is 104421444441269. The next prime is 104421444441313. The reversal of 104421444441312 is 213144444124401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×104421444441312³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104421444441313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6552542512 + ... + 6552558447.

It is an arithmetic number, because the mean of its divisors is an integer number (5779349523360).

Almost surely, 2^{104421444441312} is an apocalyptic number.

104421444441312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104421444441312 is an abundant number, since it is smaller than the sum of its proper divisors (172987332679968).

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

104421444441312 is a wasteful number, since it uses less digits than its factorization.

104421444441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13105101055 (or 13105101047 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

Adding to 104421444441312 its reverse (213144444124401), we get a palindrome (317565888565713).

The spelling of 104421444441312 in words is "one hundred four trillion, four hundred twenty-one billion, four hundred forty-four million, four hundred forty-one thousand, three hundred twelve".