10414413310 has 32 divisors (see below), whose sum is σ = 22002966720. Its totient is φ = 3474150912.

The previous prime is 10414413293. The next prime is 10414413311. The reversal of 10414413310 is 1331441401.

It is a happy number.

It is a super-2 number, since 2×10414413310² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414413311) 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 15 ways as a sum of consecutive naturals, for example, 2007915 + ... + 2013094.

It is an arithmetic number, because the mean of its divisors is an integer number (687592710).

Almost surely, 2^10414413310 is an apocalyptic number.

10414413310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10414413310 is an abundant number, since it is smaller than the sum of its proper divisors (11588553410).

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

10414413310 is a wasteful number, since it uses less digits than its factorization.

10414413310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021060.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10414413310 its reverse (1331441401), we get a palindrome (11745854711).

The spelling of 10414413310 in words is "ten billion, four hundred fourteen million, four hundred thirteen thousand, three hundred ten".