10041410141300 has 72 divisors (see below), whose sum is σ = 21809720885400. Its totient is φ = 4012904734720.

The previous prime is 10041410141293. The next prime is 10041410141309. The reversal of 10041410141300 is 314101414001.

It can be written as a sum of positive squares in 12 ways, for example, as 7905386969104 + 2136023172196 = 2811652^2 + 1461514^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041410141309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655052036 + ... + 655067364.

It is an arithmetic number, because the mean of its divisors is an integer number (302912790075).

Almost surely, 2^{10041410141300} is an apocalyptic number.

10041410141300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041410141300 is an abundant number, since it is smaller than the sum of its proper divisors (11768310744100).

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

10041410141300 is a wasteful number, since it uses less digits than its factorization.

10041410141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20885 (or 20878 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10041410141300 its reverse (314101414001), we get a palindrome (10355511555301).

The spelling of 10041410141300 in words is "ten trillion, forty-one billion, four hundred ten million, one hundred forty-one thousand, three hundred".