13232430400 has 126 divisors (see below), whose sum is σ = 37876199838. Its totient is φ = 4536806400.

The previous prime is 13232430397. The next prime is 13232430427. The reversal of 13232430400 is 403423231.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 258309184 + 12974121216 = 16072^2 + 113904^2 .

It is a super-3 number, since 3×13232430400³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5991 + ... + 162790.

Almost surely, 2^13232430400 is an apocalyptic number.

13232430400 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 13232430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18938099919).

13232430400 is an abundant number, since it is smaller than the sum of its proper divisors (24643769438).

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

13232430400 is a wasteful number, since it uses less digits than its factorization.

13232430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168817 (or 168795 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 13232430400 its reverse (403423231), we get a palindrome (13635853631).

The spelling of 13232430400 in words is "thirteen billion, two hundred thirty-two million, four hundred thirty thousand, four hundred".