13132464400 has 240 divisors, whose sum is σ = 35993678400. Its totient is φ = 4560640000.

The previous prime is 13132464349. The next prime is 13132464481. The reversal of 13132464400 is 446423131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12887091 + ... + 12888109.

It is an arithmetic number, because the mean of its divisors is an integer number (149973660).

Almost surely, 2^13132464400 is an apocalyptic number.

13132464400 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 13132464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996839200).

13132464400 is an abundant number, since it is smaller than the sum of its proper divisors (22861214000).

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

13132464400 is a wasteful number, since it uses less digits than its factorization.

13132464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13132464400 its reverse (446423131), we get a palindrome (13578887531).

The spelling of 13132464400 in words is "thirteen billion, one hundred thirty-two million, four hundred sixty-four thousand, four hundred".