13470040320 has 288 divisors, whose sum is σ = 47117306880. Its totient is φ = 3252510720.

The previous prime is 13470040319. The next prime is 13470040343. The reversal of 13470040320 is 2304007431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14656821 + ... + 14657739.

It is an arithmetic number, because the mean of its divisors is an integer number (163601760).

Almost surely, 2^13470040320 is an apocalyptic number.

13470040320 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 13470040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23558653440).

13470040320 is an abundant number, since it is smaller than the sum of its proper divisors (33647266560).

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

13470040320 is a wasteful number, since it uses less digits than its factorization.

13470040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

Adding to 13470040320 its reverse (2304007431), we get a palindrome (15774047751).

The spelling of 13470040320 in words is "thirteen billion, four hundred seventy million, forty thousand, three hundred twenty".