13378310400 has 1296 divisors, whose sum is σ = 59369533440. Its totient is φ = 2587852800.

The previous prime is 13378310399. The next prime is 13378310411. The reversal of 13378310400 is 401387331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 431558385 + ... + 431558415.

Almost surely, 2^13378310400 is an apocalyptic number.

13378310400 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 13378310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29684766720).

13378310400 is an abundant number, since it is smaller than the sum of its proper divisors (45991223040).

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

13378310400 is a wasteful number, since it uses less digits than its factorization.

13378310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 13378310400 its reverse (401387331), we get a palindrome (13779697731).

The spelling of 13378310400 in words is "thirteen billion, three hundred seventy-eight million, three hundred ten thousand, four hundred".