13004421400 has 96 divisors (see below), whose sum is σ = 30691941840. Its totient is φ = 5123727360.

The previous prime is 13004421359. The next prime is 13004421403. The reversal of 13004421400 is 412440031.

13004421400 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 2×13004421400² (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 (13004421403) 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 23 ways as a sum of consecutive naturals, for example, 4402324 + ... + 4405276.

Almost surely, 2^13004421400 is an apocalyptic number.

13004421400 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 13004421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345970920).

13004421400 is an abundant number, since it is smaller than the sum of its proper divisors (17687520440).

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

13004421400 is a wasteful number, since it uses less digits than its factorization.

13004421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 13004421400 its reverse (412440031), we get a palindrome (13416861431).

The spelling of 13004421400 in words is "thirteen billion, four million, four hundred twenty-one thousand, four hundred".