13324719408 has 480 divisors, whose sum is σ = 49339842048. Its totient is φ = 3004784640.

The previous prime is 13324719389. The next prime is 13324719431. The reversal of 13324719408 is 80491742331.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 13324719408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8984235 + ... + 8985717.

Almost surely, 2^13324719408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13324719408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24669921024).

13324719408 is an abundant number, since it is smaller than the sum of its proper divisors (36015122640).

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

13324719408 is a wasteful number, since it uses less digits than its factorization.

13324719408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 13324719408 in words is "thirteen billion, three hundred twenty-four million, seven hundred nineteen thousand, four hundred eight".