13329400400 has 60 divisors (see below), whose sum is σ = 32104130844. Its totient is φ = 5318400000.

The previous prime is 13329400379. The next prime is 13329400417. The reversal of 13329400400 is 400492331.

It can be written as a sum of positive squares in 6 ways, for example, as 726194704 + 12603205696 = 26948^2 + 112264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13329400400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118850 + ... + 201950.

Almost surely, 2^13329400400 is an apocalyptic number.

13329400400 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 13329400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052065422).

13329400400 is an abundant number, since it is smaller than the sum of its proper divisors (18774730444).

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

13329400400 is a wasteful number, since it uses less digits than its factorization.

13329400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83520 (or 83509 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13329400400 its reverse (400492331), we get a palindrome (13729892731).

The spelling of 13329400400 in words is "thirteen billion, three hundred twenty-nine million, four hundred thousand, four hundred".