10041104212314 has 128 divisors (see below), whose sum is σ = 24005239111680. Its totient is φ = 2739611160000.

The previous prime is 10041104212313. The next prime is 10041104212333. The reversal of 10041104212314 is 41321240114001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10041104212313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183368439 + ... + 183423189.

It is an arithmetic number, because the mean of its divisors is an integer number (187540930560).

Almost surely, 2^{10041104212314} is an apocalyptic number.

10041104212314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041104212314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002619555840).

10041104212314 is an abundant number, since it is smaller than the sum of its proper divisors (13964134899366).

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

10041104212314 is a wasteful number, since it uses less digits than its factorization.

10041104212314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56656.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10041104212314 its reverse (41321240114001), we get a palindrome (51362344326315).

The spelling of 10041104212314 in words is "ten trillion, forty-one billion, one hundred four million, two hundred twelve thousand, three hundred fourteen".