13281408000 has 1056 divisors, whose sum is σ = 57653476608. Its totient is φ = 2985984000.

The previous prime is 13281407999. The next prime is 13281408011. The reversal of 13281408000 is 80418231.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 217727970 + ... + 217728030.

Almost surely, 2^13281408000 is an apocalyptic number.

13281408000 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 13281408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28826738304).

13281408000 is an abundant number, since it is smaller than the sum of its proper divisors (44372068608).

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

13281408000 is an frugal number, since it uses more digits than its factorization.

13281408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 13281408000 in words is "thirteen billion, two hundred eighty-one million, four hundred eight thousand".