13461043200 has 576 divisors, whose sum is σ = 50306780160. Its totient is φ = 3145728000.

The previous prime is 13461043199. The next prime is 13461043213. The reversal of 13461043200 is 234016431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52377472 + ... + 52377728.

It is an arithmetic number, because the mean of its divisors is an integer number (87338160).

Almost surely, 2^13461043200 is an apocalyptic number.

13461043200 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 13461043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25153390080).

13461043200 is an abundant number, since it is smaller than the sum of its proper divisors (36845736960).

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

13461043200 is a wasteful number, since it uses less digits than its factorization.

13461043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13461043200 its reverse (234016431), we get a palindrome (13695059631).

The spelling of 13461043200 in words is "thirteen billion, four hundred sixty-one million, forty-three thousand, two hundred".