13441978200 has 384 divisors, whose sum is σ = 52059525120. Its totient is φ = 2797977600.

The previous prime is 13441978189. The next prime is 13441978211. The reversal of 13441978200 is 287914431.

It is an interprime number because it is at equal distance from previous prime (13441978189) and next prime (13441978211).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2210364 + ... + 2216436.

It is an arithmetic number, because the mean of its divisors is an integer number (135571680).

Almost surely, 2^13441978200 is an apocalyptic number.

13441978200 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 13441978200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26029762560).

13441978200 is an abundant number, since it is smaller than the sum of its proper divisors (38617546920).

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

13441978200 is a wasteful number, since it uses less digits than its factorization.

13441978200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 13441978200 in words is "thirteen billion, four hundred forty-one million, nine hundred seventy-eight thousand, two hundred".