10414110340 has 24 divisors (see below), whose sum is σ = 21880656000. Its totient is φ = 4163544288.

The previous prime is 10414110319. The next prime is 10414110383. The reversal of 10414110340 is 4301141401.

10414110340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 90262 + ... + 170221.

It is an arithmetic number, because the mean of its divisors is an integer number (911694000).

Almost surely, 2^10414110340 is an apocalyptic number.

10414110340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414110340 is an abundant number, since it is smaller than the sum of its proper divisors (11466545660).

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

10414110340 is a wasteful number, since it uses less digits than its factorization.

10414110340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262491 (or 262489 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10414110340 its reverse (4301141401), we get a palindrome (14715251741).

It can be divided in two parts, 104141 and 10340, that added together give a triangular number (114481 = T₄₇₈).

The spelling of 10414110340 in words is "ten billion, four hundred fourteen million, one hundred ten thousand, three hundred forty".