13140443400 has 192 divisors, whose sum is σ = 47017169280. Its totient is φ = 2973696000.

The previous prime is 13140443399. The next prime is 13140443417. The reversal of 13140443400 is 434404131.

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

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, 408712 + ... + 439688.

It is an arithmetic number, because the mean of its divisors is an integer number (244881090).

Almost surely, 2^13140443400 is an apocalyptic number.

13140443400 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 13140443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23508584640).

13140443400 is an abundant number, since it is smaller than the sum of its proper divisors (33876725880).

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

13140443400 is a wasteful number, since it uses less digits than its factorization.

13140443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31104 (or 31095 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13140443400 its reverse (434404131), we get a palindrome (13574847531).

The spelling of 13140443400 in words is "thirteen billion, one hundred forty million, four hundred forty-three thousand, four hundred".