13430840160 has 288 divisors, whose sum is σ = 44593325280. Its totient is φ = 3395395584.

The previous prime is 13430840119. The next prime is 13430840237. The reversal of 13430840160 is 6104803431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32838036 + ... + 32838444.

It is an arithmetic number, because the mean of its divisors is an integer number (154837935).

Almost surely, 2^13430840160 is an apocalyptic number.

13430840160 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 13430840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22296662640).

13430840160 is an abundant number, since it is smaller than the sum of its proper divisors (31162485120).

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

13430840160 is a wasteful number, since it uses less digits than its factorization.

13430840160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 13430840160 in words is "thirteen billion, four hundred thirty million, eight hundred forty thousand, one hundred sixty".