13402324320 has 384 divisors, whose sum is σ = 53116922880. Its totient is φ = 2759393280.

The previous prime is 13402324283. The next prime is 13402324361. The reversal of 13402324320 is 2342320431.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4174876 + ... + 4178084.

It is an arithmetic number, because the mean of its divisors is an integer number (138325320).

Almost surely, 2^13402324320 is an apocalyptic number.

13402324320 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 13402324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26558461440).

13402324320 is an abundant number, since it is smaller than the sum of its proper divisors (39714598560).

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

13402324320 is a wasteful number, since it uses less digits than its factorization.

13402324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13402324320 its reverse (2342320431), we get a palindrome (15744644751).

The spelling of 13402324320 in words is "thirteen billion, four hundred two million, three hundred twenty-four thousand, three hundred twenty".