13322342400 has 312 divisors, whose sum is σ = 46656460224. Its totient is φ = 3342336000.

The previous prime is 13322342353. The next prime is 13322342413. The reversal of 13322342400 is 424322331.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5221125 + ... + 5223675.

Almost surely, 2^13322342400 is an apocalyptic number.

13322342400 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 13322342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328230112).

13322342400 is an abundant number, since it is smaller than the sum of its proper divisors (33334117824).

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

13322342400 is a wasteful number, since it uses less digits than its factorization.

13322342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2578 counting only the distinct ones).

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

Adding to 13322342400 its reverse (424322331), we get a palindrome (13746664731).

The spelling of 13322342400 in words is "thirteen billion, three hundred twenty-two million, three hundred forty-two thousand, four hundred".