13230456400 has 120 divisors (see below), whose sum is σ = 36361533824. Its totient is φ = 4531852800.

The previous prime is 13230456389. The next prime is 13230456439. The reversal of 13230456400 is 465403231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 4739005 + ... + 4741795.

Almost surely, 2^13230456400 is an apocalyptic number.

13230456400 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 13230456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180766912).

13230456400 is an abundant number, since it is smaller than the sum of its proper divisors (23131077424).

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

13230456400 is a wasteful number, since it uses less digits than its factorization.

13230456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 13230456400 its reverse (465403231), we get a palindrome (13695859631).

The spelling of 13230456400 in words is "thirteen billion, two hundred thirty million, four hundred fifty-six thousand, four hundred".