13460503440 has 320 divisors, whose sum is σ = 46406172672. Its totient is φ = 3210240000.

The previous prime is 13460503373. The next prime is 13460503453. The reversal of 13460503440 is 4430506431.

13460503440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13460503398 and 13460503407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17923065 + ... + 17923815.

Almost surely, 2^13460503440 is an apocalyptic number.

13460503440 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 13460503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23203086336).

13460503440 is an abundant number, since it is smaller than the sum of its proper divisors (32945669232).

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

13460503440 is a wasteful number, since it uses less digits than its factorization.

13460503440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 13460503440 in words is "thirteen billion, four hundred sixty million, five hundred three thousand, four hundred forty".