13414040310 has 128 divisors (see below), whose sum is σ = 36404121600. Its totient is φ = 3134661120.

The previous prime is 13414040291. The next prime is 13414040317. The reversal of 13414040310 is 1304041431.

13414040310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13414040310² (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 (13414040317) 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 63 ways as a sum of consecutive naturals, for example, 1325851 + ... + 1335929.

It is an arithmetic number, because the mean of its divisors is an integer number (284407200).

Almost surely, 2^13414040310 is an apocalyptic number.

13414040310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414040310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202060800).

13414040310 is an abundant number, since it is smaller than the sum of its proper divisors (22990081290).

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

13414040310 is a wasteful number, since it uses less digits than its factorization.

13414040310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13414040310 its reverse (1304041431), we get a palindrome (14718081741).

The spelling of 13414040310 in words is "thirteen billion, four hundred fourteen million, forty thousand, three hundred ten".