10004414101041 has 16 divisors (see below), whose sum is σ = 13374915814400. Its totient is φ = 6651762214608.

The previous prime is 10004414101037. The next prime is 10004414101049. The reversal of 10004414101041 is 14010141440001.

It is not a de Polignac number, because 10004414101041 - 2² = 10004414101037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10004414100999 and 10004414101017.

It is not an unprimeable number, because it can be changed into a prime (10004414101049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33149100 + ... + 33449538.

It is an arithmetic number, because the mean of its divisors is an integer number (835932238400).

Almost surely, 2^{10004414101041} is an apocalyptic number.

It is an amenable number.

10004414101041 is a deficient number, since it is larger than the sum of its proper divisors (3370501713359).

10004414101041 is a wasteful number, since it uses less digits than its factorization.

10004414101041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330108.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10004414101041 its reverse (14010141440001), we get a palindrome (24014555541042).

The spelling of 10004414101041 in words is "ten trillion, four billion, four hundred fourteen million, one hundred one thousand, forty-one".