13024014400 has 42 divisors (see below), whose sum is σ = 32047219370. Its totient is φ = 5209605120.

The previous prime is 13024014397. The next prime is 13024014557. The reversal of 13024014400 is 441042031.

It can be written as a sum of positive squares in 3 ways, for example, as 4601180224 + 8422834176 = 67832^2 + 91776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4068405 + ... + 4071604.

Almost surely, 2^13024014400 is an apocalyptic number.

13024014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13024014400 is an abundant number, since it is smaller than the sum of its proper divisors (19023204970).

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

13024014400 is an equidigital number, since it uses as much as digits as its factorization.

13024014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8140031 (or 8140016 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 13024014400 its reverse (441042031), we get a palindrome (13465056431).

The spelling of 13024014400 in words is "thirteen billion, twenty-four million, fourteen thousand, four hundred".