10134400241 has 32 divisors (see below), whose sum is σ = 11901120000. Its totient is φ = 8451827712.

The previous prime is 10134400223. The next prime is 10134400259. The reversal of 10134400241 is 14200443101.

10134400241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10134400223) and next prime (10134400259).

It is a cyclic number.

It is not a de Polignac number, because 10134400241 - 2¹⁰ = 10134399217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10134400741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11027180 + ... + 11028098.

It is an arithmetic number, because the mean of its divisors is an integer number (371910000).

Almost surely, 2^10134400241 is an apocalyptic number.

It is an amenable number.

10134400241 is a deficient number, since it is larger than the sum of its proper divisors (1766719759).

10134400241 is a wasteful number, since it uses less digits than its factorization.

10134400241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10134400241 its reverse (14200443101), we get a palindrome (24334843342).

The spelling of 10134400241 in words is "ten billion, one hundred thirty-four million, four hundred thousand, two hundred forty-one".