13420414304 has 96 divisors (see below), whose sum is σ = 29092815360. Its totient is φ = 6043507200.

The previous prime is 13420414237. The next prime is 13420414307. The reversal of 13420414304 is 40341402431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420414307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25660187 + ... + 25660709.

It is an arithmetic number, because the mean of its divisors is an integer number (303050160).

Almost surely, 2^13420414304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14546407680).

13420414304 is an abundant number, since it is smaller than the sum of its proper divisors (15672401056).

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

13420414304 is a wasteful number, since it uses less digits than its factorization.

13420414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1076 counting only the distinct ones).

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

Adding to 13420414304 its reverse (40341402431), we get a palindrome (53761816735).

It can be divided in two parts, 13420 and 414304, that added together give a palindrome (427724).

The spelling of 13420414304 in words is "thirteen billion, four hundred twenty million, four hundred fourteen thousand, three hundred four".