13382441800 has 192 divisors, whose sum is σ = 38421290880. Its totient is φ = 4221296640.

The previous prime is 13382441797. The next prime is 13382441827. The reversal of 13382441800 is 814428331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6423559 + ... + 6425641.

It is an arithmetic number, because the mean of its divisors is an integer number (200110890).

Almost surely, 2^13382441800 is an apocalyptic number.

13382441800 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 13382441800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19210645440).

13382441800 is an abundant number, since it is smaller than the sum of its proper divisors (25038849080).

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

13382441800 is a wasteful number, since it uses less digits than its factorization.

13382441800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 13382441800 in words is "thirteen billion, three hundred eighty-two million, four hundred forty-one thousand, eight hundred".