13466442320 has 80 divisors (see below), whose sum is σ = 32622912000. Its totient is φ = 5163293184.

The previous prime is 13466442317. The next prime is 13466442323. The reversal of 13466442320 is 2324466431.

It is an interprime number because it is at equal distance from previous prime (13466442317) and next prime (13466442323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×13466442320³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13466442323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301601 + ... + 343359.

It is an arithmetic number, because the mean of its divisors is an integer number (407786400).

Almost surely, 2^13466442320 is an apocalyptic number.

13466442320 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 13466442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311456000).

13466442320 is an abundant number, since it is smaller than the sum of its proper divisors (19156469680).

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

13466442320 is a wasteful number, since it uses less digits than its factorization.

13466442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41940 (or 41934 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 13466442320 in words is "thirteen billion, four hundred sixty-six million, four hundred forty-two thousand, three hundred twenty".