10034004400041 has 32 divisors (see below), whose sum is σ = 14220265646080. Its totient is φ = 6275418624000.

The previous prime is 10034004399977. The next prime is 10034004400067. The reversal of 10034004400041 is 14000440043001.

It is not a de Polignac number, because 10034004400041 - 2⁶ = 10034004399977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10034004399990 and 10034004400017.

It is not an unprimeable number, because it can be changed into a prime (10034004400841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174169641 + ... + 174227241.

It is an arithmetic number, because the mean of its divisors is an integer number (444383301440).

Almost surely, 2^{10034004400041} is an apocalyptic number.

It is an amenable number.

10034004400041 is a deficient number, since it is larger than the sum of its proper divisors (4186261246039).

10034004400041 is a wasteful number, since it uses less digits than its factorization.

10034004400041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87397.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10034004400041 its reverse (14000440043001), we get a palindrome (24034444443042).

The spelling of 10034004400041 in words is "ten trillion, thirty-four billion, four million, four hundred thousand, forty-one".