13411325400 has 576 divisors, whose sum is σ = 48446899200. Its totient is φ = 3062400000.

The previous prime is 13411325363. The next prime is 13411325401. The reversal of 13411325400 is 452311431.

It is a happy number.

13411325400 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411325401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 132785350 + ... + 132785450.

It is an arithmetic number, because the mean of its divisors is an integer number (84109200).

Almost surely, 2^13411325400 is an apocalyptic number.

13411325400 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 13411325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24223449600).

13411325400 is an abundant number, since it is smaller than the sum of its proper divisors (35035573800).

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

13411325400 is a wasteful number, since it uses less digits than its factorization.

13411325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13411325400 its reverse (452311431), we get a palindrome (13863636831).

The spelling of 13411325400 in words is "thirteen billion, four hundred eleven million, three hundred twenty-five thousand, four hundred".