13414222410 has 128 divisors (see below), whose sum is σ = 33189212160. Its totient is φ = 3468864000.

The previous prime is 13414222373. The next prime is 13414222427. The reversal of 13414222410 is 1422241431.

13414222410 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 63 ways as a sum of consecutive naturals, for example, 57571654 + ... + 57571886.

It is an arithmetic number, because the mean of its divisors is an integer number (259290720).

Almost surely, 2^13414222410 is an apocalyptic number.

13414222410 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 13414222410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594606080).

13414222410 is an abundant number, since it is smaller than the sum of its proper divisors (19774989750).

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

13414222410 is a wasteful number, since it uses less digits than its factorization.

13414222410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13414222410 its reverse (1422241431), we get a palindrome (14836463841).

The spelling of 13414222410 in words is "thirteen billion, four hundred fourteen million, two hundred twenty-two thousand, four hundred ten".