13412100400 has 360 divisors, whose sum is σ = 36552472992. Its totient is φ = 4713984000.

The previous prime is 13412100397. The next prime is 13412100451. The reversal of 13412100400 is 400121431.

13412100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327124380 + ... + 327124420.

Almost surely, 2^13412100400 is an apocalyptic number.

13412100400 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 13412100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18276236496).

13412100400 is an abundant number, since it is smaller than the sum of its proper divisors (23140372592).

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

13412100400 is a wasteful number, since it uses less digits than its factorization.

13412100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13412100400 its reverse (400121431), we get a palindrome (13812221831).

The spelling of 13412100400 in words is "thirteen billion, four hundred twelve million, one hundred thousand, four hundred".