13414422320 has 120 divisors (see below), whose sum is σ = 34003962000. Its totient is φ = 4919036928.

The previous prime is 13414422317. The next prime is 13414422379. The reversal of 13414422320 is 2322441431.

It is a super-3 number, since 3×13414422320³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13414422320.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2011151 + ... + 2017809.

It is an arithmetic number, because the mean of its divisors is an integer number (283366350).

Almost surely, 2^13414422320 is an apocalyptic number.

13414422320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001981000).

13414422320 is an abundant number, since it is smaller than the sum of its proper divisors (20589539680).

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

13414422320 is a wasteful number, since it uses less digits than its factorization.

13414422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6847 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 13414422320 its reverse (2322441431), we get a palindrome (15736863751).

The spelling of 13414422320 in words is "thirteen billion, four hundred fourteen million, four hundred twenty-two thousand, three hundred twenty".