13284195840 has 240 divisors, whose sum is σ = 47253368448. Its totient is φ = 3446489088.

The previous prime is 13284195839. The next prime is 13284195871. The reversal of 13284195840 is 4859148231.

13284195840 is a `hidden beast` number, since 1 + 3 + 28 + 41 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844689 + ... + 860271.

Almost surely, 2^13284195840 is an apocalyptic number.

13284195840 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 13284195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23626684224).

13284195840 is an abundant number, since it is smaller than the sum of its proper divisors (33969172608).

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

13284195840 is a wasteful number, since it uses less digits than its factorization.

13284195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15649 (or 15630 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 13284195840 in words is "thirteen billion, two hundred eighty-four million, one hundred ninety-five thousand, eight hundred forty".