10414034145 has 12 divisors (see below), whose sum is σ = 18050992596. Its totient is φ = 5554151520.

The previous prime is 10414034123. The next prime is 10414034173. The reversal of 10414034145 is 54143041401.

10414034145 is a `hidden beast` number, since 104 + 140 + 3 + 414 + 5 = 666.

10414034145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1988446464 + 8425587681 = 44592^2 + 91791^2 .

It is not a de Polignac number, because 10414034145 - 2¹⁸ = 10413772001 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 115711446 + ... + 115711535.

It is an arithmetic number, because the mean of its divisors is an integer number (1504249383).

Almost surely, 2^10414034145 is an apocalyptic number.

10414034145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10414034145 is a deficient number, since it is larger than the sum of its proper divisors (7636958451).

10414034145 is a wasteful number, since it uses less digits than its factorization.

10414034145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231422992 (or 231422989 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10414034145 its reverse (54143041401), we get a palindrome (64557075546).

The spelling of 10414034145 in words is "ten billion, four hundred fourteen million, thirty-four thousand, one hundred forty-five".