4101034010000 has 50 divisors (see below), whose sum is σ = 9929013465822. Its totient is φ = 1640413600000.

The previous prime is 4101034009991. The next prime is 4101034010009. The reversal of 4101034010000 is 104301014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4101034009991) and next prime (4101034010009).

It can be written as a sum of positive squares in 5 ways, for example, as 323701826704 + 3777332183296 = 568948^2 + 1943536^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (4101034010009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 205041701 + ... + 205061700.

Almost surely, 2^{4101034010000} is an apocalyptic number.

4101034010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101034010000 is an abundant number, since it is smaller than the sum of its proper divisors (5827979455822).

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

4101034010000 is an equidigital number, since it uses as much as digits as its factorization.

4101034010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410103429 (or 410103408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 4101034010000 its reverse (104301014), we get a palindrome (4101138311014).

The spelling of 4101034010000 in words is "four trillion, one hundred one billion, thirty-four million, ten thousand".